On the uniqueness of the solution of a system of polynomial equations
over a finite field

Faershtein Igor Semenovich

On the uniqueness of the solution of a system of polynomial equations over a finite field

Faershtein I. S.

Faershtein Igor Semenovich

postgraduate student, Lomonosov Moscow State University, Faculty of Computer Science, Chair of Mathematical Cybernetics

Published: 2024, vol. 28, issue 1, pp. 60–68

Download full text (In Russian)

Abstract

A system of polynomial equations of a special form over the field GF(2m) is considered and the uniqueness of its solution up to a permutation of variables is investigated.

Keywords: system of polynomial equations, finite fields, uniqueness of solution.

BibTeX

@article{IS-Faershtein2024,
  author  = {Faershtein, Igor Semenovich},
  title   = {{On the uniqueness of the solution of a system of polynomial equations over a finite field}},
  journal = {Intelligent Systems. Theory and Applications},
  year    = {2024},
  volume  = {28},
  number  = {1},
  pages   = {60--68},
}

AMSBIB

\Bibitem{IS-Faershtein2024}
\by I.\,S.~Faershtein
\paper On the uniqueness of the solution of a system of polynomial equations over a finite field
\jour Intelligent Systems. Theory and Applications
\yr 2024
\vol 28
\issue 1
\pages 60--68
\lang In Russian

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