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Efficient provable-secure NTRUEncrypt over any cyclotomic field
NTRU Ideal lattice Canonical embedding
2017/11/20
NTRUEncrypt is a fast lattice-based cryptosystem and a probable alternative of the existing public key schemes. The existing provable-secure NTRUEncrypts are limited by the cyclotomic field it works o...
Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field
Brezing-Weng pairing elliptic curves cyclotomic field
2009/6/2
We describe a new method for constructing Brezing-Weng-
like pairing-friendly elliptic curves. The new construction uses the min-
imal polynomials of elements in a cyclotomic ¯eld. Using this n...
Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field
elliptic curves cyclotomic field
2008/5/21
We describe a new method for constructing Brezing-Weng-
like pairing-friendly elliptic curves. The new construction uses the min-
imal polynomials of elements in a cyclotomic ¯eld. Using this n...