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Add N/N multisig tx generation and signing
Scheme by luigi1111:
Multisig for RingCT on Monero
2 of 2
User A (coordinator):
Spendkey b,B
Viewkey a,A (shared)
User B:
Spendkey c,C
Viewkey a,A (shared)
Public Address: C+B, A
Both have their own watch only wallet via C+B, a
A will coordinate spending process (though B could easily as well, coordinator is more needed for more participants)
A and B watch for incoming outputs
B creates "half" key images for discovered output D:
I2_D = (Hs(aR)+c) * Hp(D)
B also creates 1.5 random keypairs (one scalar and 2 pubkeys; one on base G and one on base Hp(D)) for each output, storing the scalar(k) (linked to D),
and sending the pubkeys with I2_D.
A also creates "half" key images:
I1_D = (Hs(aR)+b) * Hp(D)
Then I_D = I1_D + I2_D
Having I_D allows A to check spent status of course, but more importantly allows A to actually build a transaction prefix (and thus transaction).
A builds the transaction until most of the way through MLSAG_Gen, adding the 2 pubkeys (per input) provided with I2_D
to his own generated ones where they are needed (secret row L, R).
At this point, A has a mostly completed transaction (but with an invalid/incomplete signature). A sends over the tx and includes r,
which allows B (with the recipient's address) to verify the destination and amount (by reconstructing the stealth address and decoding ecdhInfo).
B then finishes the signature by computing ss[secret_index][0] = ss[secret_index][0] + k - cc[secret_index]*c (secret indices need to be passed as well).
B can then broadcast the tx, or send it back to A for broadcasting. Once B has completed the signing (and verified the tx to be valid), he can add the full I_D
to his cache, allowing him to verify spent status as well.
NOTE:
A and B *must* present key A and B to each other with a valid signature proving they know a and b respectively.
Otherwise, trickery like the following becomes possible:
A creates viewkey a,A, spendkey b,B, and sends a,A,B to B.
B creates a fake key C = zG - B. B sends C back to A.
The combined spendkey C+B then equals zG, allowing B to spend funds at any time!
The signature fixes this, because B does not know a c corresponding to C (and thus can't produce a signature).
2 of 3
User A (coordinator)
Shared viewkey a,A
"spendkey" j,J
User B
"spendkey" k,K
User C
"spendkey" m,M
A collects K and M from B and C
B collects J and M from A and C
C collects J and K from A and B
A computes N = nG, n = Hs(jK)
A computes O = oG, o = Hs(jM)
B anc C compute P = pG, p = Hs(kM) || Hs(mK)
B and C can also compute N and O respectively if they wish to be able to coordinate
Address: N+O+P, A
The rest follows as above. The coordinator possesses 2 of 3 needed keys; he can get the other
needed part of the signature/key images from either of the other two.
Alternatively, if secure communication exists between parties:
A gives j to B
B gives k to C
C gives m to A
Address: J+K+M, A
3 of 3
Identical to 2 of 2, except the coordinator must collect the key images from both of the others.
The transaction must also be passed an additional hop: A -> B -> C (or A -> C -> B), who can then broadcast it
or send it back to A.
N-1 of N
Generally the same as 2 of 3, except participants need to be arranged in a ring to pass their keys around
(using either the secure or insecure method).
For example (ignoring viewkey so letters line up):
[4 of 5]
User: spendkey
A: a
B: b
C: c
D: d
E: e
a -> B, b -> C, c -> D, d -> E, e -> A
Order of signing does not matter, it just must reach n-1 users. A "remaining keys" list must be passed around with
the transaction so the signers know if they should use 1 or both keys.
Collecting key image parts becomes a little messy, but basically every wallet sends over both of their parts with a tag for each.
Thia way the coordinating wallet can keep track of which images have been added and which wallet they come from. Reasoning:
1. The key images must be added only once (coordinator will get key images for key a from both A and B, he must add only one to get the proper key actual key image)
2. The coordinator must keep track of which helper pubkeys came from which wallet (discussed in 2 of 2 section). The coordinator
must choose only one set to use, then include his choice in the "remaining keys" list so the other wallets know which of their keys to use.
You can generalize it further to N-2 of N or even M of N, but I'm not sure there's legitimate demand to justify the complexity. It might
also be straightforward enough to support with minimal changes from N-1 format.
You basically just give each user additional keys for each additional "-1" you desire. N-2 would be 3 keys per user, N-3 4 keys, etc.
The process is somewhat cumbersome:
To create a N/N multisig wallet:
- each participant creates a normal wallet
- each participant runs "prepare_multisig", and sends the resulting string to every other participant
- each participant runs "make_multisig N A B C D...", with N being the threshold and A B C D... being the strings received from other participants (the threshold must currently equal N)
As txes are received, participants' wallets will need to synchronize so that those new outputs may be spent:
- each participant runs "export_multisig FILENAME", and sends the FILENAME file to every other participant
- each participant runs "import_multisig A B C D...", with A B C D... being the filenames received from other participants
Then, a transaction may be initiated:
- one of the participants runs "transfer ADDRESS AMOUNT"
- this partly signed transaction will be written to the "multisig_monero_tx" file
- the initiator sends this file to another participant
- that other participant runs "sign_multisig multisig_monero_tx"
- the resulting transaction is written to the "multisig_monero_tx" file again
- if the threshold was not reached, the file must be sent to another participant, until enough have signed
- the last participant to sign runs "submit_multisig multisig_monero_tx" to relay the transaction to the Monero network
This commit is contained in:
moneromooo-monero
parent
6d219a9250
commit
4c313324b1
18 changed files with 1420 additions and 273 deletions
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@ -45,6 +45,47 @@ using namespace crypto;
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namespace cryptonote
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{
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//---------------------------------------------------------------
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void classify_addresses(const std::vector<tx_destination_entry> &destinations, const boost::optional<cryptonote::account_public_address>& change_addr, size_t &num_stdaddresses, size_t &num_subaddresses, account_public_address &single_dest_subaddress)
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{
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num_stdaddresses = 0;
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num_subaddresses = 0;
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std::unordered_set<cryptonote::account_public_address> unique_dst_addresses;
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for(const tx_destination_entry& dst_entr: destinations)
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{
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if (change_addr && dst_entr.addr == change_addr)
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continue;
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if (unique_dst_addresses.count(dst_entr.addr) == 0)
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{
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unique_dst_addresses.insert(dst_entr.addr);
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if (dst_entr.is_subaddress)
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{
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++num_subaddresses;
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single_dest_subaddress = dst_entr.addr;
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}
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else
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{
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++num_stdaddresses;
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}
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}
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}
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LOG_PRINT_L2("destinations include " << num_stdaddresses << " standard addresses and " << num_subaddresses << " subaddresses");
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}
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//---------------------------------------------------------------
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bool generate_key_image_helper_old(const account_keys& ack, const crypto::public_key& tx_public_key, size_t real_output_index, keypair& in_ephemeral, crypto::key_image& ki)
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{
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crypto::key_derivation recv_derivation = AUTO_VAL_INIT(recv_derivation);
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bool r = crypto::generate_key_derivation(tx_public_key, ack.m_view_secret_key, recv_derivation);
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CHECK_AND_ASSERT_MES(r, false, "key image helper: failed to generate_key_derivation(" << tx_public_key << ", " << ack.m_view_secret_key << ")");
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r = crypto::derive_public_key(recv_derivation, real_output_index, ack.m_account_address.m_spend_public_key, in_ephemeral.pub);
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CHECK_AND_ASSERT_MES(r, false, "key image helper: failed to derive_public_key(" << recv_derivation << ", " << real_output_index << ", " << ack.m_account_address.m_spend_public_key << ")");
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crypto::derive_secret_key(recv_derivation, real_output_index, ack.m_spend_secret_key, in_ephemeral.sec);
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crypto::generate_key_image(in_ephemeral.pub, in_ephemeral.sec, ki);
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return true;
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}
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//---------------------------------------------------------------
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bool construct_miner_tx(size_t height, size_t median_size, uint64_t already_generated_coins, size_t current_block_size, uint64_t fee, const account_public_address &miner_address, transaction& tx, const blobdata& extra_nonce, size_t max_outs, uint8_t hard_fork_version) {
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tx.vin.clear();
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@ -161,19 +202,21 @@ namespace cryptonote
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return destinations[0].addr.m_view_public_key;
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}
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//---------------------------------------------------------------
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bool construct_tx_and_get_tx_key(const account_keys& sender_account_keys, const std::unordered_map<crypto::public_key, subaddress_index>& subaddresses, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time, crypto::secret_key &tx_key, std::vector<crypto::secret_key> &additional_tx_keys, bool rct, bool bulletproof)
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bool construct_tx_with_tx_key(const account_keys& sender_account_keys, const std::unordered_map<crypto::public_key, subaddress_index>& subaddresses, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time, const crypto::secret_key &tx_key, const std::vector<crypto::secret_key> &additional_tx_keys, bool rct, bool bulletproof, rct::multisig_out *msout)
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{
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std::vector<rct::key> amount_keys;
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tx.set_null();
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amount_keys.clear();
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if (msout)
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{
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msout->c.clear();
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}
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tx.version = rct ? 2 : 1;
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tx.unlock_time = unlock_time;
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tx.extra = extra;
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keypair txkey;
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txkey.sec = rct::rct2sk(rct::skGen());
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tx_key = txkey.sec;
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crypto::public_key txkey_pub;
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// if we have a stealth payment id, find it and encrypt it with the tx key now
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std::vector<tx_extra_field> tx_extra_fields;
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@ -193,7 +236,7 @@ namespace cryptonote
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return false;
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}
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if (!encrypt_payment_id(payment_id, view_key_pub, txkey.sec))
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if (!encrypt_payment_id(payment_id, view_key_pub, tx_key))
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{
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LOG_ERROR("Failed to encrypt payment id");
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return false;
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@ -240,8 +283,17 @@ namespace cryptonote
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in_contexts.push_back(input_generation_context_data());
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keypair& in_ephemeral = in_contexts.back().in_ephemeral;
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crypto::key_image img;
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const auto& out_key = reinterpret_cast<const crypto::public_key&>(src_entr.outputs[src_entr.real_output].second.dest);
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if(!generate_key_image_helper(sender_account_keys, subaddresses, out_key, src_entr.real_out_tx_key, src_entr.real_out_additional_tx_keys, src_entr.real_output_in_tx_index, in_ephemeral, img))
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bool r;
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if (msout)
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{
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r = generate_key_image_helper_old(sender_account_keys, src_entr.real_out_tx_key, src_entr.real_output_in_tx_index, in_ephemeral, img);
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}
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else
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{
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const auto& out_key = reinterpret_cast<const crypto::public_key&>(src_entr.outputs[src_entr.real_output].second.dest);
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r = generate_key_image_helper(sender_account_keys, subaddresses, out_key, src_entr.real_out_tx_key, src_entr.real_out_additional_tx_keys, src_entr.real_output_in_tx_index, in_ephemeral, img);
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}
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if (!r)
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{
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LOG_ERROR("Key image generation failed!");
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return false;
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@ -261,7 +313,7 @@ namespace cryptonote
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//put key image into tx input
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txin_to_key input_to_key;
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input_to_key.amount = src_entr.amount;
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input_to_key.k_image = img;
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input_to_key.k_image = msout ? rct::rct2ki(src_entr.multisig_kLRki.ki) : img;
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//fill outputs array and use relative offsets
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for(const tx_source_entry::output_entry& out_entry: src_entr.outputs)
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@ -293,47 +345,29 @@ namespace cryptonote
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// figure out if we need to make additional tx pubkeys
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size_t num_stdaddresses = 0;
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size_t num_subaddresses = 0;
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std::unordered_set<cryptonote::account_public_address> unique_dst_addresses;
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account_public_address single_dest_subaddress;
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for(const tx_destination_entry& dst_entr: destinations)
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{
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if (change_addr && dst_entr.addr == *change_addr)
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continue;
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if (unique_dst_addresses.count(dst_entr.addr) == 0)
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{
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unique_dst_addresses.insert(dst_entr.addr);
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if (dst_entr.is_subaddress)
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{
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++num_subaddresses;
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single_dest_subaddress = dst_entr.addr;
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}
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else
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{
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++num_stdaddresses;
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}
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}
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}
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LOG_PRINT_L2("destinations include " << num_stdaddresses << " standard addresses and " << num_subaddresses << "subaddresses");
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classify_addresses(destinations, change_addr, num_stdaddresses, num_subaddresses, single_dest_subaddress);
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// if this is a single-destination transfer to a subaddress, we set the tx pubkey to R=s*D
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if (num_stdaddresses == 0 && num_subaddresses == 1)
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{
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txkey.pub = rct::rct2pk(rct::scalarmultKey(rct::pk2rct(single_dest_subaddress.m_spend_public_key), rct::sk2rct(txkey.sec)));
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txkey_pub = rct::rct2pk(rct::scalarmultKey(rct::pk2rct(single_dest_subaddress.m_spend_public_key), rct::sk2rct(tx_key)));
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}
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else
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{
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txkey.pub = rct::rct2pk(rct::scalarmultBase(rct::sk2rct(txkey.sec)));
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txkey_pub = rct::rct2pk(rct::scalarmultBase(rct::sk2rct(tx_key)));
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}
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remove_field_from_tx_extra(tx.extra, typeid(tx_extra_pub_key));
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add_tx_pub_key_to_extra(tx, txkey.pub);
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add_tx_pub_key_to_extra(tx, txkey_pub);
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std::vector<crypto::public_key> additional_tx_public_keys;
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additional_tx_keys.clear();
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// we don't need to include additional tx keys if:
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// - all the destinations are standard addresses
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// - there's only one destination which is a subaddress
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bool need_additional_txkeys = num_subaddresses > 0 && (num_stdaddresses > 0 || num_subaddresses > 1);
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if (need_additional_txkeys)
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CHECK_AND_ASSERT_MES(destinations.size() == additional_tx_keys.size(), false, "Wrong amount of additional tx keys");
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uint64_t summary_outs_money = 0;
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//fill outputs
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@ -348,7 +382,7 @@ namespace cryptonote
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keypair additional_txkey;
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if (need_additional_txkeys)
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{
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additional_txkey.sec = rct::rct2sk(rct::skGen());
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additional_txkey.sec = additional_tx_keys[output_index];
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if (dst_entr.is_subaddress)
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additional_txkey.pub = rct::rct2pk(rct::scalarmultKey(rct::pk2rct(dst_entr.addr.m_spend_public_key), rct::sk2rct(additional_txkey.sec)));
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else
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@ -359,20 +393,19 @@ namespace cryptonote
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if (change_addr && dst_entr.addr == *change_addr)
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{
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// sending change to yourself; derivation = a*R
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r = crypto::generate_key_derivation(txkey.pub, sender_account_keys.m_view_secret_key, derivation);
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CHECK_AND_ASSERT_MES(r, false, "at creation outs: failed to generate_key_derivation(" << txkey.pub << ", " << sender_account_keys.m_view_secret_key << ")");
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r = crypto::generate_key_derivation(txkey_pub, sender_account_keys.m_view_secret_key, derivation);
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CHECK_AND_ASSERT_MES(r, false, "at creation outs: failed to generate_key_derivation(" << txkey_pub << ", " << sender_account_keys.m_view_secret_key << ")");
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}
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else
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{
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// sending to the recipient; derivation = r*A (or s*C in the subaddress scheme)
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r = crypto::generate_key_derivation(dst_entr.addr.m_view_public_key, dst_entr.is_subaddress && need_additional_txkeys ? additional_txkey.sec : txkey.sec, derivation);
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CHECK_AND_ASSERT_MES(r, false, "at creation outs: failed to generate_key_derivation(" << dst_entr.addr.m_view_public_key << ", " << (dst_entr.is_subaddress && need_additional_txkeys ? additional_txkey.sec : txkey.sec) << ")");
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r = crypto::generate_key_derivation(dst_entr.addr.m_view_public_key, dst_entr.is_subaddress && need_additional_txkeys ? additional_txkey.sec : tx_key, derivation);
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CHECK_AND_ASSERT_MES(r, false, "at creation outs: failed to generate_key_derivation(" << dst_entr.addr.m_view_public_key << ", " << (dst_entr.is_subaddress && need_additional_txkeys ? additional_txkey.sec : tx_key) << ")");
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}
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if (need_additional_txkeys)
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{
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additional_tx_public_keys.push_back(additional_txkey.pub);
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additional_tx_keys.push_back(additional_txkey.sec);
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}
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if (tx.version > 1)
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@ -393,10 +426,11 @@ namespace cryptonote
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output_index++;
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summary_outs_money += dst_entr.amount;
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}
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CHECK_AND_ASSERT_MES(additional_tx_public_keys.size() == additional_tx_keys.size(), false, "Internal error creating additional public keys");
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remove_field_from_tx_extra(tx.extra, typeid(tx_extra_additional_pub_keys));
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LOG_PRINT_L2("tx pubkey: " << txkey.pub);
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LOG_PRINT_L2("tx pubkey: " << txkey_pub);
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if (need_additional_txkeys)
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{
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LOG_PRINT_L2("additional tx pubkeys: ");
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@ -492,6 +526,7 @@ namespace cryptonote
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rct::keyV destinations;
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std::vector<uint64_t> inamounts, outamounts;
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std::vector<unsigned int> index;
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std::vector<rct::multisig_kLRki> kLRki;
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for (size_t i = 0; i < sources.size(); ++i)
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{
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rct::ctkey ctkey;
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@ -504,6 +539,10 @@ namespace cryptonote
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inSk.push_back(ctkey);
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// inPk: (public key, commitment)
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// will be done when filling in mixRing
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if (msout)
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{
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kLRki.push_back(sources[i].multisig_kLRki);
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}
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}
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for (size_t i = 0; i < tx.vout.size(); ++i)
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{
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@ -553,9 +592,9 @@ namespace cryptonote
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get_transaction_prefix_hash(tx, tx_prefix_hash);
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rct::ctkeyV outSk;
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if (use_simple_rct)
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tx.rct_signatures = rct::genRctSimple(rct::hash2rct(tx_prefix_hash), inSk, destinations, inamounts, outamounts, amount_in - amount_out, mixRing, amount_keys, index, outSk, bulletproof);
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tx.rct_signatures = rct::genRctSimple(rct::hash2rct(tx_prefix_hash), inSk, destinations, inamounts, outamounts, amount_in - amount_out, mixRing, amount_keys, msout ? &kLRki : NULL, msout, index, outSk, bulletproof);
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else
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tx.rct_signatures = rct::genRct(rct::hash2rct(tx_prefix_hash), inSk, destinations, outamounts, mixRing, amount_keys, sources[0].real_output, outSk, bulletproof); // same index assumption
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tx.rct_signatures = rct::genRct(rct::hash2rct(tx_prefix_hash), inSk, destinations, outamounts, mixRing, amount_keys, msout ? &kLRki[0] : NULL, msout, sources[0].real_output, outSk, bulletproof); // same index assumption
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CHECK_AND_ASSERT_MES(tx.vout.size() == outSk.size(), false, "outSk size does not match vout");
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@ -567,13 +606,34 @@ namespace cryptonote
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return true;
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}
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//---------------------------------------------------------------
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bool construct_tx_and_get_tx_key(const account_keys& sender_account_keys, const std::unordered_map<crypto::public_key, subaddress_index>& subaddresses, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time, crypto::secret_key &tx_key, std::vector<crypto::secret_key> &additional_tx_keys, bool rct, bool bulletproof, rct::multisig_out *msout)
|
||||
{
|
||||
keypair txkey = keypair::generate();
|
||||
tx_key = txkey.sec;
|
||||
|
||||
// figure out if we need to make additional tx pubkeys
|
||||
size_t num_stdaddresses = 0;
|
||||
size_t num_subaddresses = 0;
|
||||
account_public_address single_dest_subaddress;
|
||||
classify_addresses(destinations, change_addr, num_stdaddresses, num_subaddresses, single_dest_subaddress);
|
||||
bool need_additional_txkeys = num_subaddresses > 0 && (num_stdaddresses > 0 || num_subaddresses > 1);
|
||||
if (need_additional_txkeys)
|
||||
{
|
||||
additional_tx_keys.clear();
|
||||
for (const auto &d: destinations)
|
||||
additional_tx_keys.push_back(keypair::generate().sec);
|
||||
}
|
||||
|
||||
return construct_tx_with_tx_key(sender_account_keys, subaddresses, sources, destinations, change_addr, extra, tx, unlock_time, tx_key, additional_tx_keys, rct, bulletproof, msout);
|
||||
}
|
||||
//---------------------------------------------------------------
|
||||
bool construct_tx(const account_keys& sender_account_keys, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time)
|
||||
{
|
||||
std::unordered_map<crypto::public_key, cryptonote::subaddress_index> subaddresses;
|
||||
subaddresses[sender_account_keys.m_account_address.m_spend_public_key] = {0,0};
|
||||
crypto::secret_key tx_key;
|
||||
std::vector<crypto::secret_key> additional_tx_keys;
|
||||
return construct_tx_and_get_tx_key(sender_account_keys, subaddresses, sources, destinations, change_addr, extra, tx, unlock_time, tx_key, additional_tx_keys);
|
||||
return construct_tx_and_get_tx_key(sender_account_keys, subaddresses, sources, destinations, change_addr, extra, tx, unlock_time, tx_key, additional_tx_keys, false, false, NULL);
|
||||
}
|
||||
//---------------------------------------------------------------
|
||||
bool generate_genesis_block(
|
||||
|
|
|
|||
|
|
@ -51,6 +51,7 @@ namespace cryptonote
|
|||
uint64_t amount; //money
|
||||
bool rct; //true if the output is rct
|
||||
rct::key mask; //ringct amount mask
|
||||
rct::multisig_kLRki multisig_kLRki; //multisig info
|
||||
|
||||
void push_output(uint64_t idx, const crypto::public_key &k, uint64_t amount) { outputs.push_back(std::make_pair(idx, rct::ctkey({rct::pk2rct(k), rct::zeroCommit(amount)}))); }
|
||||
|
||||
|
|
@ -87,8 +88,9 @@ namespace cryptonote
|
|||
|
||||
//---------------------------------------------------------------
|
||||
crypto::public_key get_destination_view_key_pub(const std::vector<tx_destination_entry> &destinations, const account_keys &sender_keys);
|
||||
bool construct_tx(const account_keys& sender_account_keys, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time);
|
||||
bool construct_tx_and_get_tx_key(const account_keys& sender_account_keys, const std::unordered_map<crypto::public_key, subaddress_index>& subaddresses, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time, crypto::secret_key &tx_key, std::vector<crypto::secret_key> &additional_tx_keys, bool rct = false, bool bulletproof = false);
|
||||
bool construct_tx(const account_keys& sender_account_keys, std::vector<tx_source_entry> &sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time);
|
||||
bool construct_tx_with_tx_key(const account_keys& sender_account_keys, const std::unordered_map<crypto::public_key, subaddress_index>& subaddresses, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time, const crypto::secret_key &tx_key, const std::vector<crypto::secret_key> &additional_tx_keys, bool rct = false, bool bulletproof = false, rct::multisig_out *msout = NULL);
|
||||
bool construct_tx_and_get_tx_key(const account_keys& sender_account_keys, const std::unordered_map<crypto::public_key, subaddress_index>& subaddresses, std::vector<tx_source_entry>& sources, const std::vector<tx_destination_entry>& destinations, const boost::optional<cryptonote::account_public_address>& change_addr, std::vector<uint8_t> extra, transaction& tx, uint64_t unlock_time, crypto::secret_key &tx_key, std::vector<crypto::secret_key> &additional_tx_keys, bool rct = false, bool bulletproof = false, rct::multisig_out *msout = NULL);
|
||||
|
||||
bool generate_genesis_block(
|
||||
block& bl
|
||||
|
|
@ -115,6 +117,7 @@ namespace boost
|
|||
a & x.amount;
|
||||
a & x.rct;
|
||||
a & x.mask;
|
||||
a & x.multisig_kLRki;
|
||||
}
|
||||
|
||||
template <class Archive>
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue