The specifics of the Galois field GF(257) and its use for digital signal processing

A Bakirov, D Matrassulova, Y Vitulyova… - Scientific Reports, 2024 - nature.com
An algorithm of digital logarithm calculation for the Galois field GF (257) is proposed. It is
shown that this field is coupled with one of the most important existing standards that uses a …

Characterizing NTRU-variants using group ring and evaluating their lattice security

T Yasuda, X Dahan, K Sakurai - Cryptology ePrint Archive, 2015 - eprint.iacr.org
The encryption scheme NTRU is designed over a quotient ring of a polynomial ring.
Basically, if the ring is changed to any other ring, NTRU-like cryptosystem is constructible. In …

Generalization of lattice-based cryptography on hypercomplex algebras

S Singh, S Padhye, A Pal - Security and Privacy: Select Proceedings of …, 2021 - Springer
We propose a fast, probabilistic, multi-dimensional quantum-resistant public key
cryptosystem “STRU cryptosystem” relying on sedenion algebra, which is power associative …