From 13889773ddd8a59a73ad07183ec58bf1c12cd0fc Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 13 May 2025 14:21:05 -0500 Subject: [PATCH 01/39] add multi-party copmutation article --- blog/posts/multi-party-computation.md | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) create mode 100644 blog/posts/multi-party-computation.md diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md new file mode 100644 index 00000000..f87d0791 --- /dev/null +++ b/blog/posts/multi-party-computation.md @@ -0,0 +1,18 @@ +--- +date: + created: 2025-05-13T17:30:00Z +categories: + - Explainers +authors: + - fria +tags: + - Multi-Party Computation + - Privacy Enhancing Technologies +license: BY-SA +schema_type: BackgroundNewsArticle +description: | + +--- +# Multi-Party Computation + +We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? \ No newline at end of file From 17284acb6618e43c52d8c4465fbb5a5f92f6077c Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 13 May 2025 15:38:43 -0500 Subject: [PATCH 02/39] add intro --- blog/posts/multi-party-computation.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index f87d0791..bd3ce952 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -15,4 +15,7 @@ description: | --- # Multi-Party Computation -We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? \ No newline at end of file +We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? + +## History + From 68b3c1ce04640e722676c0b53a47ccb279fd5a9c Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Wed, 28 May 2025 08:53:10 -0500 Subject: [PATCH 03/39] add eplanation of original paper --- blog/posts/multi-party-computation.md | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index bd3ce952..3ded1cc8 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -10,7 +10,7 @@ tags: - Privacy Enhancing Technologies license: BY-SA schema_type: BackgroundNewsArticle -description: | +description: Learn about Secure Multi-Party Computation and how it can --- # Multi-Party Computation @@ -19,3 +19,8 @@ We know how to secure data in storage using E2EE, but is it possible to ensure d ## History +In a pivotal [paper](https://dspace.mit.edu/bitstream/handle/1721.1/148953/MIT-LCS-TM-125.pdf?sequence=1) called "Mental Poker" by Adi Shamir, Ronald L. Rivest, and Leonard M. Adleman from 1979, the researchers attempt to demonstrate a way of playing poker over distance using only messages and still have it be a fair game. + +To explain, fan favorites Alice and Bob will make a return. First, Bob encrypts all the cards with his key, then sends them to Alice. Alice picks five to deal back to Bob as his hand, then encrypts five with her own key and sends those to Bob as well. Bob removes his encryption from all ten cards and sends Alice's cards back to her. + +Notice that Bob needs to be able to remove his encryption *after* Alice has applied hers. This commutative property is important for the scheme to work. From 7999a10061ddc444724594f7267a3782dac790d4 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Wed, 28 May 2025 08:56:54 -0500 Subject: [PATCH 04/39] grammar --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 3ded1cc8..c17286d1 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -19,7 +19,7 @@ We know how to secure data in storage using E2EE, but is it possible to ensure d ## History -In a pivotal [paper](https://dspace.mit.edu/bitstream/handle/1721.1/148953/MIT-LCS-TM-125.pdf?sequence=1) called "Mental Poker" by Adi Shamir, Ronald L. Rivest, and Leonard M. Adleman from 1979, the researchers attempt to demonstrate a way of playing poker over distance using only messages and still have it be a fair game. +In a seminal [paper](https://dspace.mit.edu/bitstream/handle/1721.1/148953/MIT-LCS-TM-125.pdf?sequence=1) called "Mental Poker" by Adi Shamir, Ronald L. Rivest, and Leonard M. Adleman from 1979, the researchers attempt to demonstrate a way of playing poker over a distance using only messages and still have it be a fair game. To explain, fan favorites Alice and Bob will make a return. First, Bob encrypts all the cards with his key, then sends them to Alice. Alice picks five to deal back to Bob as his hand, then encrypts five with her own key and sends those to Bob as well. Bob removes his encryption from all ten cards and sends Alice's cards back to her. From f877389095969daef0f9e78d2ce8cdd557c77dfe Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 13 Jun 2025 10:28:47 -0500 Subject: [PATCH 05/39] add more mpc --- blog/posts/multi-party-computation.md | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index c17286d1..358e9e08 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -24,3 +24,13 @@ In a seminal [paper](https://dspace.mit.edu/bitstream/handle/1721.1/148953/MIT-L To explain, fan favorites Alice and Bob will make a return. First, Bob encrypts all the cards with his key, then sends them to Alice. Alice picks five to deal back to Bob as his hand, then encrypts five with her own key and sends those to Bob as well. Bob removes his encryption from all ten cards and sends Alice's cards back to her. Notice that Bob needs to be able to remove his encryption *after* Alice has applied hers. This commutative property is important for the scheme to work. + + + +Alice and Bob have struck it rich! They're both millionaires, but they want to be able to see who has more money without revealing exactly how much they have to each other. + +Luckily, we can use MPC to solve this "Millionaire's Problem" this using a method invented by Andrew Yao called *garbled cricuits*. Garbled circuits allow us to use MPC for any problem as long as it can be represented as a boolean circuit i.e. a set of logic gates such as `AND` `OR` `XOR` etc. + +We start by making the truth table for our inputs. In order to hide the values of the truth table, we assign each input a different label. Importantly, we need to assign a different label for each input, so 1 will not be represented by the same label for each. We also need to shuffle the order of the rows so the values can't be inferred from that. + +We can still tell what the value is based on knowing the type of logic gate, for example an `AND` gate whould only have one different output, so you could infer that output is 1 and the others are 0. To fix this, we can encrypt the rows using the input labels as keys, so only the correct output can be decrypted. From 939f526cf40b425548acb85c4144d58c486daed2 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 13 Jun 2025 10:32:45 -0500 Subject: [PATCH 06/39] add more detail --- blog/posts/multi-party-computation.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 358e9e08..56432eca 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -31,6 +31,8 @@ Alice and Bob have struck it rich! They're both millionaires, but they want to b Luckily, we can use MPC to solve this "Millionaire's Problem" this using a method invented by Andrew Yao called *garbled cricuits*. Garbled circuits allow us to use MPC for any problem as long as it can be represented as a boolean circuit i.e. a set of logic gates such as `AND` `OR` `XOR` etc. +We can split the two parties into an "Evaluator" and a "Generator". The Generator will be responsible for setting up the cryptography that'll be used and the Evaluator will actually perform the computation. + We start by making the truth table for our inputs. In order to hide the values of the truth table, we assign each input a different label. Importantly, we need to assign a different label for each input, so 1 will not be represented by the same label for each. We also need to shuffle the order of the rows so the values can't be inferred from that. We can still tell what the value is based on knowing the type of logic gate, for example an `AND` gate whould only have one different output, so you could infer that output is 1 and the others are 0. To fix this, we can encrypt the rows using the input labels as keys, so only the correct output can be decrypted. From 4d6f82e10e620528d2f838dfe454d5fc7d8dd37d Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 13 Jun 2025 10:33:10 -0500 Subject: [PATCH 07/39] typo --- blog/posts/multi-party-computation.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 56432eca..2d044ed2 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -35,4 +35,6 @@ We can split the two parties into an "Evaluator" and a "Generator". The Generato We start by making the truth table for our inputs. In order to hide the values of the truth table, we assign each input a different label. Importantly, we need to assign a different label for each input, so 1 will not be represented by the same label for each. We also need to shuffle the order of the rows so the values can't be inferred from that. -We can still tell what the value is based on knowing the type of logic gate, for example an `AND` gate whould only have one different output, so you could infer that output is 1 and the others are 0. To fix this, we can encrypt the rows using the input labels as keys, so only the correct output can be decrypted. +We can still tell what the value is based on knowing the type of logic gate, for example an `AND` gate would only have one different output, so you could infer that output is 1 and the others are 0. To fix this, we can encrypt the rows using the input labels as keys, so only the correct output can be decrypted. + + From 62b55234fb0774f8c16fbb7e59e3c8efa69537db Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 13 Jun 2025 14:59:17 -0500 Subject: [PATCH 08/39] oblivious transfer --- blog/posts/multi-party-computation.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 2d044ed2..0fe49db8 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -37,4 +37,6 @@ We start by making the truth table for our inputs. In order to hide the values o We can still tell what the value is based on knowing the type of logic gate, for example an `AND` gate would only have one different output, so you could infer that output is 1 and the others are 0. To fix this, we can encrypt the rows using the input labels as keys, so only the correct output can be decrypted. +We still have a problem, though: how can the Evaluator put in their inputs? Asking for both labels would allow them to decrypt more than one output, and giving their input would break the whole point. The solution is something called "Oblivious Transfer". + From 4323098aa4be422f7013b03dad2bbb1976dd6862 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 16 Jun 2025 06:11:59 -0500 Subject: [PATCH 09/39] add end of garbled circuits --- blog/posts/multi-party-computation.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 0fe49db8..a262f7e0 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -31,6 +31,8 @@ Alice and Bob have struck it rich! They're both millionaires, but they want to b Luckily, we can use MPC to solve this "Millionaire's Problem" this using a method invented by Andrew Yao called *garbled cricuits*. Garbled circuits allow us to use MPC for any problem as long as it can be represented as a boolean circuit i.e. a set of logic gates such as `AND` `OR` `XOR` etc. +## Garbled Circuits + We can split the two parties into an "Evaluator" and a "Generator". The Generator will be responsible for setting up the cryptography that'll be used and the Evaluator will actually perform the computation. We start by making the truth table for our inputs. In order to hide the values of the truth table, we assign each input a different label. Importantly, we need to assign a different label for each input, so 1 will not be represented by the same label for each. We also need to shuffle the order of the rows so the values can't be inferred from that. @@ -39,4 +41,8 @@ We can still tell what the value is based on knowing the type of logic gate, for We still have a problem, though: how can the Evaluator put in their inputs? Asking for both labels would allow them to decrypt more than one output, and giving their input would break the whole point. The solution is something called "Oblivious Transfer". +The solution is for the Evaluator to generate two public keys, one of which they have the private key for. The Generator encrypts the two labels for the Evaluator's inputs using the provide public keys and sends them back. Since the Generator only has a private key for one of the labels, they will decrypt the one they want. The Generator puts the labels in order so that the Evaluator can choose which one they want to decrypt. This method relies on the Evaluator not to send multiple keys that can be decrypted. +### Birth of Multi-Party Computation + +Multi-Party Computation was solidified with the research of Oded Goldreich, Siltnb Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). From 9bec8113c42b0cb3de9d7f4064f8a3d884d19467 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 16 Jun 2025 06:16:01 -0500 Subject: [PATCH 10/39] add link to garbled circuits explainer --- blog/posts/multi-party-computation.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index a262f7e0..b2bfb1e6 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -43,6 +43,8 @@ We still have a problem, though: how can the Evaluator put in their inputs? Aski The solution is for the Evaluator to generate two public keys, one of which they have the private key for. The Generator encrypts the two labels for the Evaluator's inputs using the provide public keys and sends them back. Since the Generator only has a private key for one of the labels, they will decrypt the one they want. The Generator puts the labels in order so that the Evaluator can choose which one they want to decrypt. This method relies on the Evaluator not to send multiple keys that can be decrypted. +There's a good explainer for Yao's garbled circuits [here](https://lcamel.github.io/MPC-Notes/story-en-US.html) if you're interested in a step-by-step walkthrough. + ### Birth of Multi-Party Computation Multi-Party Computation was solidified with the research of Oded Goldreich, Siltnb Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). From 037312e411573b75366faf88d520eee9bdf02744 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 16 Jun 2025 06:57:59 -0500 Subject: [PATCH 11/39] add danish sugar beet auction --- blog/posts/multi-party-computation.md | 16 +++++++++++++++- 1 file changed, 15 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index b2bfb1e6..cf2dc211 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -41,10 +41,24 @@ We can still tell what the value is based on knowing the type of logic gate, for We still have a problem, though: how can the Evaluator put in their inputs? Asking for both labels would allow them to decrypt more than one output, and giving their input would break the whole point. The solution is something called "Oblivious Transfer". -The solution is for the Evaluator to generate two public keys, one of which they have the private key for. The Generator encrypts the two labels for the Evaluator's inputs using the provide public keys and sends them back. Since the Generator only has a private key for one of the labels, they will decrypt the one they want. The Generator puts the labels in order so that the Evaluator can choose which one they want to decrypt. This method relies on the Evaluator not to send multiple keys that can be decrypted. +The solution is for the Evaluator to generate two public keys, one of which they have the private key for. The Generator encrypts the two labels for the Evaluator's inputs using the provide public keys and sends them back. Since the Generator only has a private key for one of the labels, they will decrypt the one they want. The Generator puts the labels in order so that the Evaluator can choose which one they want to decrypt. This method relies on the Evaluator not to send multiple keys that can be decrypted. Because some trust is required, this protocol is considered "semi-honest". There's a good explainer for Yao's garbled circuits [here](https://lcamel.github.io/MPC-Notes/story-en-US.html) if you're interested in a step-by-step walkthrough. ### Birth of Multi-Party Computation Multi-Party Computation was solidified with the research of Oded Goldreich, Siltnb Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). + +### Real-World Usage + +As MPC saw gradual optimizations and improvements, it grew from an interesting thought experiment to something that could have real-world uses. + +#### Danish Sugar Beet Auction + +The first instance of MPC being used in a real-world scenario wouldn't occur until 2008. + +Denmark's sugar beet industry faced a problem: with the EU significantly reducing its financial support for sugar beet production, they needed to figure out what price the thousands of sugar beet farmers were willing to sell at, and which price the company that bought all the sugar beets would be willing to buy them at, a so-called "double auction" where the buyer and seller figure out the **market clearing price**, or the price at which demand meets supply most effectively. + +But who should be in charge of the auction? Farmers don't want to trust Danisco with their bids as it reveals information about each individual farmer's business. The farmers can't be in charge of it because they don't trust each other. They could use an external consulting firm, but then the entire operatio would rely on that one firm's confidentiality and the reliability of their tools. + +The solution was to use a "virtual auctioneer" that relied on MPC to fairly carry the auction out. From 706c712444b3ba8f3abda9814bfdd58cf7155675 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 16 Jun 2025 07:07:37 -0500 Subject: [PATCH 12/39] more detail for danish sugar beet auction --- blog/posts/multi-party-computation.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index cf2dc211..79c323d0 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -61,4 +61,8 @@ Denmark's sugar beet industry faced a problem: with the EU significantly reducin But who should be in charge of the auction? Farmers don't want to trust Danisco with their bids as it reveals information about each individual farmer's business. The farmers can't be in charge of it because they don't trust each other. They could use an external consulting firm, but then the entire operatio would rely on that one firm's confidentiality and the reliability of their tools. -The solution was to use a "virtual auctioneer" that relied on MPC to fairly carry the auction out. +The [solution](https://a.storyblok.com/f/266767/x/e4c85ffa34/mpc-goes-live_whitepaper_2008-068.pdf) was to use a "virtual auctioneer" that relied on MPC to fairly carry the auction out. + +It relied on three servers, with one representing each party: Danisco, DKS (the Danish sugar beet growers association), and The SIMAP project (Secure Information Management and Processing, a project sponsored by the Danish National Research Agency). + +The solution was so successful that it was used every year until 2015 when it was no longer needed. A survey of the farmers found that the vast majority found the system simplified the process of trading contracts and that they were satisfied with the level of confidentiality it provided. From 3c64535cc74500207791cb7fb52452a5945921ff Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Wed, 25 Jun 2025 11:19:36 -0500 Subject: [PATCH 13/39] add more info on GMW paradigm --- blog/posts/multi-party-computation.md | 16 ++++++++++++++-- 1 file changed, 14 insertions(+), 2 deletions(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 79c323d0..b483fcc8 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -25,13 +25,15 @@ To explain, fan favorites Alice and Bob will make a return. First, Bob encrypts Notice that Bob needs to be able to remove his encryption *after* Alice has applied hers. This commutative property is important for the scheme to work. +This early scheme is highly specialized for this task and not applicable to different situations. +### Secure Two-Party Computation Alice and Bob have struck it rich! They're both millionaires, but they want to be able to see who has more money without revealing exactly how much they have to each other. Luckily, we can use MPC to solve this "Millionaire's Problem" this using a method invented by Andrew Yao called *garbled cricuits*. Garbled circuits allow us to use MPC for any problem as long as it can be represented as a boolean circuit i.e. a set of logic gates such as `AND` `OR` `XOR` etc. -## Garbled Circuits +### Garbled Circuits We can split the two parties into an "Evaluator" and a "Generator". The Generator will be responsible for setting up the cryptography that'll be used and the Evaluator will actually perform the computation. @@ -47,7 +49,13 @@ There's a good explainer for Yao's garbled circuits [here](https://lcamel.github ### Birth of Multi-Party Computation -Multi-Party Computation was solidified with the research of Oded Goldreich, Siltnb Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). +Multi-Party Computation was solidified with the [research](https://dl.acm.org/doi/pdf/10.1145/28395.28420) of Oded Goldreich, Siltnb Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). + +Yao's protocol was limited to two parties. The new GMW paradigm expands the protocol to be able to handle any number of parties and can handle actively malicious actors as long as the majority are honest. + +#### Secret Sharing + +The new paradigm relies on [secret sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if a certain threshold of people combine their parts together. ### Real-World Usage @@ -66,3 +74,7 @@ The [solution](https://a.storyblok.com/f/266767/x/e4c85ffa34/mpc-goes-live_white It relied on three servers, with one representing each party: Danisco, DKS (the Danish sugar beet growers association), and The SIMAP project (Secure Information Management and Processing, a project sponsored by the Danish National Research Agency). The solution was so successful that it was used every year until 2015 when it was no longer needed. A survey of the farmers found that the vast majority found the system simplified the process of trading contracts and that they were satisfied with the level of confidentiality it provided. + +The first test run of MPC was a massive success and the potential was now proven. + +#### \ No newline at end of file From d8bebb15c6cf2c59c5d44c3c2e13883578f5ee00 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Wed, 25 Jun 2025 11:21:13 -0500 Subject: [PATCH 14/39] typo --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index b483fcc8..d0335122 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -49,7 +49,7 @@ There's a good explainer for Yao's garbled circuits [here](https://lcamel.github ### Birth of Multi-Party Computation -Multi-Party Computation was solidified with the [research](https://dl.acm.org/doi/pdf/10.1145/28395.28420) of Oded Goldreich, Siltnb Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). +Multi-Party Computation was solidified with the [research](https://dl.acm.org/doi/pdf/10.1145/28395.28420) of Oded Goldreich, Silvio Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). Yao's protocol was limited to two parties. The new GMW paradigm expands the protocol to be able to handle any number of parties and can handle actively malicious actors as long as the majority are honest. From 60cdcd05339a84c4f8efa93a7a65321e3b7012cb Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Thu, 26 Jun 2025 08:35:41 -0500 Subject: [PATCH 15/39] add explanation of zero knowledge proofs --- blog/posts/multi-party-computation.md | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index d0335122..cdfb6f70 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -57,6 +57,18 @@ Yao's protocol was limited to two parties. The new GMW paradigm expands the prot The new paradigm relies on [secret sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if a certain threshold of people combine their parts together. +#### Zero-Knowledge Proofs + +The GMW paradigm introduced protections against malicious adversaries, powered by zero-knowledge proofs (ZKP). ZKP allow one party to convince another party a statement is true without revealing any other information than the fact that the statement is true. The concept of ZKP was first introduced in a [paper](https://dl.acm.org/doi/pdf/10.1145/22145.22178) from 1985 by Shafi Goldwasser, Silvio Micali, and Charles Rackoff. + +A slightly humorous paper called *[How to Explan Zero-Knowledge Protocols to Your Children](https://pages.cs.wisc.edu/~mkowalcz/628.pdf)* gives a storybook explanation of how they work (who says academic papers can't be fun?). + +The main crux revolves around probability: if a party knows the proper way to get a result, they should be able to reliably get the correct answer. + +To borrow the cave explanation, imagine Alice and Bob have taken up cave exploration. They've found a cave in the shape of a loop with a magic door connecting each entrance together and Alice claims to know how to open it. However, she doesn't want Bob to know the secret to open the door. + +Alice, acting as the "Prover" goes into the cave. Bob, the "Verifier", stays outside and yells which side of the cave Alice should come out of. They repeat this many times. If Alice can reliably make it out of the correct side of the cave, then she must know how to open the magic door. + ### Real-World Usage As MPC saw gradual optimizations and improvements, it grew from an interesting thought experiment to something that could have real-world uses. From 084f67693d01898280f59469c18344839317a353 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Thu, 26 Jun 2025 08:37:05 -0500 Subject: [PATCH 16/39] add more secret sharing info --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index cdfb6f70..374a4d33 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -55,7 +55,7 @@ Yao's protocol was limited to two parties. The new GMW paradigm expands the prot #### Secret Sharing -The new paradigm relies on [secret sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if a certain threshold of people combine their parts together. +The new paradigm relies on [secret sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), invented by Adi Shamir in 1979, which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if a certain threshold of people combine their parts together. #### Zero-Knowledge Proofs From d4e92a4179a1f3223a318734322a5af6a310967a Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 27 Jun 2025 10:31:13 -0500 Subject: [PATCH 17/39] fix typo, add more detail --- blog/posts/multi-party-computation.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 374a4d33..d45d5737 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -51,11 +51,13 @@ There's a good explainer for Yao's garbled circuits [here](https://lcamel.github Multi-Party Computation was solidified with the [research](https://dl.acm.org/doi/pdf/10.1145/28395.28420) of Oded Goldreich, Silvio Micali, and Avi Wigderson and the GMW paradigm (named after the researchers, similar to how RSA is named). +#### More Than Two Parties + Yao's protocol was limited to two parties. The new GMW paradigm expands the protocol to be able to handle any number of parties and can handle actively malicious actors as long as the majority are honest. #### Secret Sharing -The new paradigm relies on [secret sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), invented by Adi Shamir in 1979, which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if a certain threshold of people combine their parts together. +The new paradigm relies on [secret sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), invented by Adi Shamir in 1979, which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if a certain threshold of people combine their parts together. Importantly, it doesn't require the secrets from all participants. #### Zero-Knowledge Proofs @@ -79,7 +81,7 @@ The first instance of MPC being used in a real-world scenario wouldn't occur unt Denmark's sugar beet industry faced a problem: with the EU significantly reducing its financial support for sugar beet production, they needed to figure out what price the thousands of sugar beet farmers were willing to sell at, and which price the company that bought all the sugar beets would be willing to buy them at, a so-called "double auction" where the buyer and seller figure out the **market clearing price**, or the price at which demand meets supply most effectively. -But who should be in charge of the auction? Farmers don't want to trust Danisco with their bids as it reveals information about each individual farmer's business. The farmers can't be in charge of it because they don't trust each other. They could use an external consulting firm, but then the entire operatio would rely on that one firm's confidentiality and the reliability of their tools. +But who should be in charge of the auction? Farmers don't want to trust Danisco with their bids as it reveals information about each individual farmer's business. The farmers can't be in charge of it because they don't trust each other. They could use an external consulting firm, but then the entire operation would rely on that one firm's confidentiality and the reliability of their tools. The [solution](https://a.storyblok.com/f/266767/x/e4c85ffa34/mpc-goes-live_whitepaper_2008-068.pdf) was to use a "virtual auctioneer" that relied on MPC to fairly carry the auction out. From 24d9f3cc24bd07268cffa0ec5f9f55402c063dd4 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 27 Jun 2025 11:28:22 -0500 Subject: [PATCH 18/39] add BGW protocol info --- blog/posts/multi-party-computation.md | 14 +++++++++++++- 1 file changed, 13 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index d45d5737..6b819c84 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -57,7 +57,11 @@ Yao's protocol was limited to two parties. The new GMW paradigm expands the prot #### Secret Sharing -The new paradigm relies on [secret sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), invented by Adi Shamir in 1979, which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if a certain threshold of people combine their parts together. Importantly, it doesn't require the secrets from all participants. +The new paradigm relies on secret sharing which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if the shares are combined together. The GMW protocol uses additive secret sharing, which is quite simple. You come up with a secret number, say 123, and you split it up into however many other numbers you want. + +`99 + 24 = 123` + +You distribute each number to a participant and add them all together to get the original secret. While simple, it doesn't play well with multiplication operations. #### Zero-Knowledge Proofs @@ -71,6 +75,14 @@ To borrow the cave explanation, imagine Alice and Bob have taken up cave explora Alice, acting as the "Prover" goes into the cave. Bob, the "Verifier", stays outside and yells which side of the cave Alice should come out of. They repeat this many times. If Alice can reliably make it out of the correct side of the cave, then she must know how to open the magic door. +### BGW Protocol + +While the GMW protocol was a huge leap forward for MPC, there were still huge limitations. The garbled circuit protocol is limited to boolean logic gates which makes implementing many different common operations much more difficult. It also requires communication for every single gate, which is highly inefficient. + +#### Arithmetic Circuits + +Instead of boolean circuits, the BGW protocol uses arithmetic circuits. These allow for + ### Real-World Usage As MPC saw gradual optimizations and improvements, it grew from an interesting thought experiment to something that could have real-world uses. From 1079d7c72ba7b25195be16ae18127e41fe2c663e Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 27 Jun 2025 11:58:52 -0500 Subject: [PATCH 19/39] add link to shamir's secret sharing --- blog/posts/multi-party-computation.md | 12 +++++++++++- 1 file changed, 11 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 6b819c84..60f61c8a 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -79,14 +79,24 @@ Alice, acting as the "Prover" goes into the cave. Bob, the "Verifier", stays out While the GMW protocol was a huge leap forward for MPC, there were still huge limitations. The garbled circuit protocol is limited to boolean logic gates which makes implementing many different common operations much more difficult. It also requires communication for every single gate, which is highly inefficient. +The researchers Michael Ben-Or, Shafi Goldwassert, and Avi Wigderson in their paper *[Completeness Theorems for Non-Cryptographic Fault-Tolerant Distributed Computation](https://dl.acm.org/doi/pdf/10.1145/62212.62213)* made several advancements in the efficiency and robustness of MPC, moving it closer to being practical to use in the real world. + #### Arithmetic Circuits -Instead of boolean circuits, the BGW protocol uses arithmetic circuits. These allow for +Instead of boolean circuits, the BGW protocol uses arithmetic circuits. These allow for easier mathematical operations like multiplication and addition instead of being limited to logic gates on individual bits. This makes a huge difference in the amount of communication between parties and thus the efficiency of the protocol. + +#### Shamir's Secret Sharing + +The BGW protocol utilizes [Shamir's Secret Sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), which relies on polynomials instead of addition. This allows for more efficiency in multiplication and allows for setting a threshold where only a certain number of shares need to be present in order to reconstruct the secret. ### Real-World Usage As MPC saw gradual optimizations and improvements, it grew from an interesting thought experiment to something that could have real-world uses. +#### Less Communication + +The BGW protocol doesn't require as much communication between parties, partly thanks to its use of Shamir's secret sharing + #### Danish Sugar Beet Auction The first instance of MPC being used in a real-world scenario wouldn't occur until 2008. From 4261470cc76001d651e7bcaa625d2e777960a7fe Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 27 Jun 2025 12:08:36 -0500 Subject: [PATCH 20/39] remove space --- blog/posts/multi-party-computation.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 60f61c8a..25e4df75 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -11,7 +11,6 @@ tags: license: BY-SA schema_type: BackgroundNewsArticle description: Learn about Secure Multi-Party Computation and how it can - --- # Multi-Party Computation @@ -95,7 +94,9 @@ As MPC saw gradual optimizations and improvements, it grew from an interesting t #### Less Communication -The BGW protocol doesn't require as much communication between parties, partly thanks to its use of Shamir's secret sharing +The BGW protocol doesn't require as much communication between parties, partly thanks to its use of Shamir's secret sharing which works well with arithmetic operations. + +Additionally, it doesn't require Oblivious Transfer or zero-knowledge proofs. Its use of Shamir's secret sharing and error correction codes instead provides the same properties in a more efficient way. #### Danish Sugar Beet Auction From 8dc920b407c2aae229f267c7f08f17fde6becefc Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 27 Jun 2025 12:09:15 -0500 Subject: [PATCH 21/39] complete description --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 25e4df75..75b1b5a9 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -10,7 +10,7 @@ tags: - Privacy Enhancing Technologies license: BY-SA schema_type: BackgroundNewsArticle -description: Learn about Secure Multi-Party Computation and how it can +description: Learn about Secure Multi-Party Computation and how it can be used to solve real-world privacy problems. --- # Multi-Party Computation From a207e4de3cfaedad52a645cf413ceabf53d1fa0a Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Fri, 27 Jun 2025 12:11:58 -0500 Subject: [PATCH 22/39] fix more --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 75b1b5a9..0045b17a 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -14,7 +14,7 @@ description: Learn about Secure Multi-Party Computation and how it can be used t --- # Multi-Party Computation -We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? +We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? ## History From 68c06b7b1a324d9bb80d8f404b2e12b3c1ac9d77 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Sun, 29 Jun 2025 05:50:38 -0500 Subject: [PATCH 23/39] fix ordering --- blog/posts/multi-party-computation.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 0045b17a..ecea4294 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -88,16 +88,16 @@ Instead of boolean circuits, the BGW protocol uses arithmetic circuits. These al The BGW protocol utilizes [Shamir's Secret Sharing](https://web.mit.edu/6.857/OldStuff/Fall03/ref/Shamir-HowToShareASecret.pdf), which relies on polynomials instead of addition. This allows for more efficiency in multiplication and allows for setting a threshold where only a certain number of shares need to be present in order to reconstruct the secret. -### Real-World Usage - -As MPC saw gradual optimizations and improvements, it grew from an interesting thought experiment to something that could have real-world uses. - #### Less Communication The BGW protocol doesn't require as much communication between parties, partly thanks to its use of Shamir's secret sharing which works well with arithmetic operations. Additionally, it doesn't require Oblivious Transfer or zero-knowledge proofs. Its use of Shamir's secret sharing and error correction codes instead provides the same properties in a more efficient way. +### Real-World Usage + +As MPC saw gradual optimizations and improvements, it grew from an interesting thought experiment to something that could have real-world uses. + #### Danish Sugar Beet Auction The first instance of MPC being used in a real-world scenario wouldn't occur until 2008. @@ -114,4 +114,4 @@ The solution was so successful that it was used every year until 2015 when it wa The first test run of MPC was a massive success and the potential was now proven. -#### \ No newline at end of file +#### The Boston \ No newline at end of file From f26431f00a6773c191443af1851d49b05174ab4b Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Sun, 29 Jun 2025 07:00:24 -0500 Subject: [PATCH 24/39] add MPC today section --- blog/posts/multi-party-computation.md | 25 ++++++++++++++++++++++++- 1 file changed, 24 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index ecea4294..1c88bb43 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -114,4 +114,27 @@ The solution was so successful that it was used every year until 2015 when it wa The first test run of MPC was a massive success and the potential was now proven. -#### The Boston \ No newline at end of file +#### The Boston Women's Workforce Council + +In 2016, the [Boston Women's Workforce Council](https://www.boston.gov/sites/default/files/document-file-09-2017/bwwcr-2016-new-report.pdf) worked with 69 companies to investigate if women are paid the same as men. + +Using MPC, the companies were able to process their data without revealing the actual wages of any employees. The wage data of 112,600 employees was collected, representing about 11% of the Greater Boston workforce. + +You can read their detailed findings in the report, but they found that women were indeed being paid less than men: 77 cents for every dollar a man makes on average. + +It was reported in 2023 that thanks to this data, the Boston Women's Workforce Council was able to reduce the wage gap by 30%. + +#### Allegheny County + +In 2018, Allegheny County Department of Human Services partnered with the [Bipartisan Policy Center](https://bipartisanpolicy.org/press-release/bpc-partners-with-allegheny-county-on-new-privacy-preserving-data-project/) to implement MPC, allowing for private and secure sharing of county data on services to the homeless, behavioral health services, causes and incidence of mortality, family interventions, and incarceration. + +The experiment was considered a success, with a recommendation from the U.S. Commission on Evidence-Based Policymaking to further explore the use of MPC. + +## MPC Today + +Today, the [MPC Alliance](https://www.mpcalliance.org) represents a collective of companies that have come together to advance the use of MPC. + +MPC is used for everything from cryptocurrency to HIPAA-compliant medical uses. There are ongoing efforts to [standardize](https://csrc.nist.gov/projects/threshold-cryptography) it from organizations like NIST, although it's a difficult proposition due to the sheer variation in MPC protocols and usecases. + +MPC acts as an essential privacy tool in the toolbox. It intersects with other PETs like homomorphic encryption. + From 387649d66fa40b69dfb4e5ed1aada5fc4a65ec31 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Sun, 29 Jun 2025 07:31:16 -0500 Subject: [PATCH 25/39] add fairplay --- blog/posts/multi-party-computation.md | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 1c88bb43..02a3d937 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -94,6 +94,14 @@ The BGW protocol doesn't require as much communication between parties, partly t Additionally, it doesn't require Oblivious Transfer or zero-knowledge proofs. Its use of Shamir's secret sharing and error correction codes instead provides the same properties in a more efficient way. +### Fairplay + +The field was further advanced by the introduction of the [Fairplay](https://www.cs.huji.ac.il/w~noam/FairplayMP.pdf) system. + +Up until this paper, MPC was limited to boolean circuits or arithmetic circuits: not exactly friendly if you're a programmer that's used to using higher level languages. Fairplay introduces a compiler, SFDL, which can compile higher level languages to boolean circuits and then securely computes the circuit. + +Fairplay also brings some advancements in efficiency. It utilizes constant rounds, with a fixed 8 rounds, reducing the communication overhead. It also uses the free XOR technique so that encryption operations don't have to be performed on XOR gates, improving efficiency. + ### Real-World Usage As MPC saw gradual optimizations and improvements, it grew from an interesting thought experiment to something that could have real-world uses. From 636159815b96cd1433187b952234486c8aa4ef0c Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Sun, 29 Jun 2025 07:37:13 -0500 Subject: [PATCH 26/39] add ending --- blog/posts/multi-party-computation.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 02a3d937..6ec7e9e0 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -144,5 +144,6 @@ Today, the [MPC Alliance](https://www.mpcalliance.org) represents a collective o MPC is used for everything from cryptocurrency to HIPAA-compliant medical uses. There are ongoing efforts to [standardize](https://csrc.nist.gov/projects/threshold-cryptography) it from organizations like NIST, although it's a difficult proposition due to the sheer variation in MPC protocols and usecases. -MPC acts as an essential privacy tool in the toolbox. It intersects with other PETs like homomorphic encryption. +MPC acts as an essential privacy tool in the toolbox. It intersects with other PETs like homomorphic encryption, a method of encrypting data in such a way that operations can still be performed on it without revealing the unencrypted data. +MPC is just one tool among many that's reshaping the privacy landscape. I'm excited to see how it's used in the future and what new advancements it unlocks. \ No newline at end of file From 10d0f5661b996c95df481f0603d3e4fad8b050c0 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Sun, 29 Jun 2025 07:42:32 -0500 Subject: [PATCH 27/39] update date --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 6ec7e9e0..08499c74 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -1,6 +1,6 @@ --- date: - created: 2025-05-13T17:30:00Z + created: 2025-05-29T17:30:00Z categories: - Explainers authors: From d23fb23e1f076aac15a0a4c53c61cfe1a1b7fa08 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 30 Jun 2025 07:51:35 -0500 Subject: [PATCH 28/39] fix typo --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 08499c74..18b16d7a 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -30,7 +30,7 @@ This early scheme is highly specialized for this task and not applicable to diff Alice and Bob have struck it rich! They're both millionaires, but they want to be able to see who has more money without revealing exactly how much they have to each other. -Luckily, we can use MPC to solve this "Millionaire's Problem" this using a method invented by Andrew Yao called *garbled cricuits*. Garbled circuits allow us to use MPC for any problem as long as it can be represented as a boolean circuit i.e. a set of logic gates such as `AND` `OR` `XOR` etc. +Luckily, we can use MPC to solve this "Millionaire's Problem" this using a method invented by Andrew Yao called *garbled circuits*. Garbled circuits allow us to use MPC for any problem as long as it can be represented as a boolean circuit i.e. a set of logic gates such as `AND` `OR` `XOR` etc. ### Garbled Circuits From 27390a060c8d1b6e055d55a8960f864388f000d5 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 30 Jun 2025 18:38:44 -0500 Subject: [PATCH 29/39] update title --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 18b16d7a..e8af79c1 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -12,7 +12,7 @@ license: BY-SA schema_type: BackgroundNewsArticle description: Learn about Secure Multi-Party Computation and how it can be used to solve real-world privacy problems. --- -# Multi-Party Computation +# Privacy-Enhancing Technologies Series: Multi-Party Computation We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? From 8af49c30c7e5ac36a8ec0327c62a402b912daa30 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 30 Jun 2025 18:41:11 -0500 Subject: [PATCH 30/39] add more intro --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index e8af79c1..8cd4eb6f 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -14,7 +14,7 @@ description: Learn about Secure Multi-Party Computation and how it can be used t --- # Privacy-Enhancing Technologies Series: Multi-Party Computation -We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? +We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? This is the first in a series of articles I'll be writing covering the privacy-enhancing technologies being rolled out. ## History From 1125da38476beccdeb39fef4b0aee1fdb7c1cdf4 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 30 Jun 2025 18:41:54 -0500 Subject: [PATCH 31/39] update date --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 8cd4eb6f..4d55303f 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -1,6 +1,6 @@ --- date: - created: 2025-05-29T17:30:00Z + created: 2025-06-29T17:30:00Z categories: - Explainers authors: From 4bdfbe5d6336a67ace2d4af97a5ed09dbf81a985 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 1 Jul 2025 00:27:50 -0500 Subject: [PATCH 32/39] add cover image --- 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zeW#8TaJOMuuH@)Z^%^`x3Ae$eQpNqeL;qLF7Y-NQagciZOy_`JNNJ>2 zDexw|7b7?iy2*{GAtvR%ZHj9`2K}sOm9y@=!FzagS0Dxg4F+&seQHg~U|S~p3?1S; zI(6KP?Ks0o*Z{?~g(O?28yd#I5dDou5IUIw*3dGzh?p6|#DC=ZNkzcx(A!XsN^9K= zY9ey9ysk4)o~shOp8{qx(0yElsmd)5TEbPu`q)ZWtHO{=mbb69SCk{iOyCxY z?_@-7zMT)H3Zq&UUdR6De5>H6R|wa#o8QI(`gxlf!ybtr&sMbMv{j-h&y_iH zBy>HB5|jFdKKTdC%N(n-L`IV=cE0oZ zFSN#6$$AaJM^jS=e22M;;+uT6NkHxaGQ~--Qm!4#Ij8-+`R1jKcy)F6fNHV_bfdP% zsX`VxJp96b8uA3qi0rTCkeYLk``q>2-Z#)?wbn2?I?ub{?NC!Tq(Mn)PykV`BHwFL zLw0#a2VBn#1%JUJXuYUxwT-NGXmjkLuE9r(52)hRoIPmY6)~x@2P?-a<|Q}YtzDN- zT3-I=7Bb!ejZTwCv&8@dR}SJIRoO=jPB1%w&o#bbW6i_}bS+Zg8LtU%-`DP0g6F%kuT=x1LwW{{y4@AsnW(nPzyqcmH+?%DsfyC#5=MTqpVhjjz9nkebXrq zBrZsTSdaF0Cu|N1sLnv@ZQPQK?Nm@J`Rtv-<)WNRa99CiQw&IV)Mtp6zJH~pO) z^*qR)VdYdgf4Em+mFY@w ## History From 275f4a100fb4093047ef2be0abe6a05078fd4876 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 1 Jul 2025 00:32:02 -0500 Subject: [PATCH 33/39] wording --- blog/posts/multi-party-computation.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index ebdfa048..f7a1844d 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -54,11 +54,11 @@ Multi-Party Computation was solidified with the [research](https://dl.acm.org/do #### More Than Two Parties -Yao's protocol was limited to two parties. The new GMW paradigm expands the protocol to be able to handle any number of parties and can handle actively malicious actors as long as the majority are honest. +Yao's protocol was limited to two parties. The GMW paradigm expanded the protocol to be able to handle any number of parties and can handle actively malicious actors as long as the majority are honest. #### Secret Sharing -The new paradigm relies on secret sharing which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if the shares are combined together. The GMW protocol uses additive secret sharing, which is quite simple. You come up with a secret number, say 123, and you split it up into however many other numbers you want. +The GMW paradigm relies on secret sharing which is a method of splitting private information like a cryptographic key into multiple parts such that it will only reveal the secret if the shares are combined together. The GMW protocol uses additive secret sharing, which is quite simple. You come up with a secret number, say 123, and you split it up into however many other numbers you want. `99 + 24 = 123` From 6cf958bcec1798d14c159bb77f2ae02c5a8d77bf Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 1 Jul 2025 00:34:13 -0500 Subject: [PATCH 34/39] add cover image credit --- blog/posts/multi-party-computation.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index f7a1844d..16400d37 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -16,6 +16,9 @@ description: Learn about Secure Multi-Party Computation and how it can be used t ![An image of a lock and multiple keys going toward it to unlock it](../assets/images/multi-party-computation/cover.webp) + + + We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? This is the first in a series of articles I'll be writing covering the privacy-enhancing technologies being rolled out. ## History From b5e1ab2ef10ce95f2346103aac91099985a7536b Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 1 Jul 2025 00:34:23 -0500 Subject: [PATCH 35/39] fix spacing --- blog/posts/multi-party-computation.md | 1 - 1 file changed, 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 16400d37..3e4363f9 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -18,7 +18,6 @@ description: Learn about Secure Multi-Party Computation and how it can be used t - We know how to secure data in storage using E2EE, but is it possible to ensure data privacy even while processing it server-side? This is the first in a series of articles I'll be writing covering the privacy-enhancing technologies being rolled out. ## History From e12e200ef52214ada71f7d22d13577e0cc6d7f95 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 1 Jul 2025 00:35:07 -0500 Subject: [PATCH 36/39] fix date --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 3e4363f9..44b9f29e 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -1,6 +1,6 @@ --- date: - created: 2025-06-29T17:30:00Z + created: 2025-07-01T17:30:00Z categories: - Explainers authors: From c2b68014bd75d32be2e8590b383e26cecb6c52a6 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 1 Jul 2025 06:11:23 -0500 Subject: [PATCH 37/39] add medical paper --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 44b9f29e..8dd5dfaf 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -146,7 +146,7 @@ The experiment was considered a success, with a recommendation from the U.S. Com Today, the [MPC Alliance](https://www.mpcalliance.org) represents a collective of companies that have come together to advance the use of MPC. -MPC is used for everything from cryptocurrency to HIPAA-compliant medical uses. There are ongoing efforts to [standardize](https://csrc.nist.gov/projects/threshold-cryptography) it from organizations like NIST, although it's a difficult proposition due to the sheer variation in MPC protocols and usecases. +MPC is used for everything from cryptocurrency to HIPAA-compliant [medical](https://pmc.ncbi.nlm.nih.gov/articles/PMC6658266/) uses. There are ongoing efforts to [standardize](https://csrc.nist.gov/projects/threshold-cryptography) it from organizations like NIST, although it's a difficult proposition due to the sheer variation in MPC protocols and usecases. MPC acts as an essential privacy tool in the toolbox. It intersects with other PETs like homomorphic encryption, a method of encrypting data in such a way that operations can still be performed on it without revealing the unencrypted data. From 0b009724aa289306f0e3d321456a76118ce19ba9 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Tue, 1 Jul 2025 06:13:19 -0500 Subject: [PATCH 38/39] add cryptocurrency link --- blog/posts/multi-party-computation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index 8dd5dfaf..f1beb4f7 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -146,7 +146,7 @@ The experiment was considered a success, with a recommendation from the U.S. Com Today, the [MPC Alliance](https://www.mpcalliance.org) represents a collective of companies that have come together to advance the use of MPC. -MPC is used for everything from cryptocurrency to HIPAA-compliant [medical](https://pmc.ncbi.nlm.nih.gov/articles/PMC6658266/) uses. There are ongoing efforts to [standardize](https://csrc.nist.gov/projects/threshold-cryptography) it from organizations like NIST, although it's a difficult proposition due to the sheer variation in MPC protocols and usecases. +MPC is used for everything from [cryptocurrency](https://www.coinbase.com/learn/wallet/what-is-a-multi-party-computation-mpc-wallet) to HIPAA-compliant [medical](https://pmc.ncbi.nlm.nih.gov/articles/PMC6658266/) uses. There are ongoing efforts to [standardize](https://csrc.nist.gov/projects/threshold-cryptography) it from organizations like NIST, although it's a difficult proposition due to the sheer variation in MPC protocols and usecases. MPC acts as an essential privacy tool in the toolbox. It intersects with other PETs like homomorphic encryption, a method of encrypting data in such a way that operations can still be performed on it without revealing the unencrypted data. From 711347cbfa4592340cd8329bb58a8148ae5a7ab2 Mon Sep 17 00:00:00 2001 From: fria <138676274+friadev@users.noreply.github.com> Date: Mon, 7 Jul 2025 11:09:32 -0500 Subject: [PATCH 39/39] add use for elections --- blog/posts/multi-party-computation.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/blog/posts/multi-party-computation.md b/blog/posts/multi-party-computation.md index f1beb4f7..ec74f457 100644 --- a/blog/posts/multi-party-computation.md +++ b/blog/posts/multi-party-computation.md @@ -148,6 +148,8 @@ Today, the [MPC Alliance](https://www.mpcalliance.org) represents a collective o MPC is used for everything from [cryptocurrency](https://www.coinbase.com/learn/wallet/what-is-a-multi-party-computation-mpc-wallet) to HIPAA-compliant [medical](https://pmc.ncbi.nlm.nih.gov/articles/PMC6658266/) uses. There are ongoing efforts to [standardize](https://csrc.nist.gov/projects/threshold-cryptography) it from organizations like NIST, although it's a difficult proposition due to the sheer variation in MPC protocols and usecases. +There's been research into using MPC for secure and [verifiably fair](https://eprint.iacr.org/2014/075.pdf) [electronic voting](https://arxiv.org/html/2205.10580v4), something that's much needed as countries move toward [electronic voting](https://worldpopulationreview.com/country-rankings/electronic-voting-by-country). It's important to not completely dismiss the march of technology, but these things should be implemented with the utmost caution and scientific rigor. I feel that implementing black-box electronic voting without open and provably secure technologies like MPC is irresponsible and endangers elections. + MPC acts as an essential privacy tool in the toolbox. It intersects with other PETs like homomorphic encryption, a method of encrypting data in such a way that operations can still be performed on it without revealing the unencrypted data. MPC is just one tool among many that's reshaping the privacy landscape. I'm excited to see how it's used in the future and what new advancements it unlocks. \ No newline at end of file

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