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* almost all public-key cryptography right now could be broken with just a few advances in quantum computing * the commonly-used public-key algorithms are based: factoring (rsa), finite field discrete logarithms (diffie-hellman), and elliptic curve discrete logarithms (ecdh and ecdsa) - the hidden subgroup problem, which quantum computers are good at solving * modern design of post-quantum algorithms: - make constant-time implementations easy, reducing the risk of timing attacks - reduce reliance on random number generators (rngs) by extending nonce values with deterministic functions (shake) - implement random sampling techniques for non-uniform distributions, reducing the risk of attacks that rely on biased sampling - many are fully deterministic in their input reducing nonce reuse issues - many are designed to allow quick and easy generation of new keys, making it easier to provide forward secrecy

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## post-quantum cryptography
## quantum cryptography
<br>
### tl; dr
* almost all public-key cryptography right now could be broken with just a few advances in quantum computing
* the commonly-used public-key algorithms are based: factoring (rsa), finite field discrete logarithms (diffie-hellman), and elliptic curve discrete logarithms (ecdh and ecdsa) - the hidden subgroup problem, which quantum computers are good at solving
* modern design of post-quantum algorithms:
- make constant-time implementations easy, reducing the risk of timing attacks
- reduce reliance on random number generators (rngs) by extending nonce values with deterministic functions (shake)
- implement random sampling techniques for non-uniform distributions, reducing the risk of attacks that rely on biased sampling
- many are fully deterministic in their input reducing nonce reuse issues
- many are designed to allow quick and easy generation of new keys, making it easier to provide forward secrecy
<br>
------
### shor's algorithm
<br>