Computer science

Parameterized unified method for setting vector finite fields for multivariate cryptography

A. A. Moldovyan, N. A. Moldovyan

St. Petersburg Federal Research Center of the Russian Academy of Sciences, 39, 14-ya liniya V. O., St. Petersburg, 199178, Russian Federation

Abstract: One of attractive paradigms of the public key multivariate cryptography is connected with application of the exponentiation operations in vector finite fields of different dimensions. The computationally heuristic method of specifying vector finite fields with a large number of implemented modifications is a problematic area of this paradigm. In this regard, a formalized method for the unified construction of vector finite fields is proposed.

Keywords: finite associative algebra, commutative algebra, vector finite field, power polynomials, exponentiation operation, post-quantum cryptography, multivariate cryptography.

UDC: 512.552+003.26

MSC: 16P10

Received: June 17, 2024
Accepted: October 4, 2024

Language: English

DOI: 10.21638/spbu10.2024.404