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Key exchange: I'll use ECC as an example. Alice and Bob generate ephemeral key pairs and sign their ephemeral public key with their static private key, and then send their signed ephemeral public key to each other. Both parties receive the others signed ephemeral public key and verify it using the others static public key, stored by a CA or in a PKI. Now ...


This Wiki page describes SIDH, a key exchange protocol. SIKE is a key encapsulation mechanism, like all entries in the NIST PQ competition, it has a different API.


Multivariate cryptographic schemes that perform digital signatures like HFEv, FLASH and Quartz have something in common. As opposed to enciphering data like in a normal cryptosystem where a public multivariate polynomial $P(X)$ is given as: $$P(X) = P(p_1(x_1,\ldots,x_n),\ldots,p_n(x_1,\ldots,x_n))$$ You input the plaintext bits $x=(x_1,\ldots,x_n)$ into $...


This is an older question, but it's come up a couple times for me recently and I want add some clarification. If you want to speed up Grover's algorithm, you can split the search space up into $k$ chunks and run independent searches on $k$ machines. Since your search space is $\frac {N} k$, each search will complete in $O(\sqrt{ \frac {N} k})$. You only get ...

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