Score:0

How $f(x)$ set in ring-lattice crypto?

es flag

I want to clear out some confusions I have about Lattice crypto.

As discussed in this talk Signatures, Commitments, Zero-Knowledge, and Applications

For ring $Z_q[x]/f(x)$, I want to understand following:

  • Does $f(x)=x^d+1$, is it true that when $d$ is power of two NTT is fast it splits polynomial into many smaller factors. Or there is some condition on $q$ as well.
  • What extra advantage we get if $f(x)$ is cyclotomic polynomial.
  • How CRT for NTT and CRT for SIMD operations in FHE work together
mangohost

Post an answer

Most people don’t grasp that asking a lot of questions unlocks learning and improves interpersonal bonding. In Alison’s studies, for example, though people could accurately recall how many questions had been asked in their conversations, they didn’t intuit the link between questions and liking. Across four studies, in which participants were engaged in conversations themselves or read transcripts of others’ conversations, people tended not to realize that question asking would influence—or had influenced—the level of amity between the conversationalists.