This crate implements arithmetic in cyclotomic rings used in Ring-Learning With Errors cryptography.
For n
a power of 2 (e.g., phi_{2n}(X) = Xⁿ+1
is the 2n
-th cyclotomic
polynomial), and p
a prime such that p ≡ 1 mod 2n
, rlwe
implements
arithmetic on the rings
ℤ[X]
R := ------ ,
(Xⁿ+1)
𝔽_p[X]
R_p := ------- ,
(Xⁿ+1)
𝔽_{q^l}[X]
R_{q^l} := ------------- .
(Xⁿ+1)
(WIP)