Algebraic-geometric code is associated with a curve of genus 3 over finite field with discriminant 19
AbstractThe construction of an AG-code and the process of decoding are described by the Rimann-Roch spaces.
Overview of effective point counting algorithms for Jacobian of hyperelliptic curve over finite field
AbstractVarious algorithms for finding of the order of Jacobian, their range of use and efficiency are considered.
An analysis of NTRU-cryptosystem and its security
AbstractThe structure of NTRU cryptosystem is described. Variants of attacks on NTRU cryptosystem, particularly an attack based on lattices are considered.