Double skew cyclic codes over F-q


AYDOĞDU İ. , Hesari R. M. , Samei K.

COMPUTATIONAL & APPLIED MATHEMATICS, vol.41, no.3, 2022 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.1007/s40314-022-01833-2
  • Title of Journal : COMPUTATIONAL & APPLIED MATHEMATICS
  • Keywords: Skew cyclic code, Double skew cyclic code, Duality, Optimal code

Abstract

In this paper, we characterize the algebraic structure of double skew cyclic codes over F-q , where q is a prime power. We determine the generator polynomials of both the double skew cyclic codes over F-q and their duals. We also present several examples of optimal parameter and MDS codes that we derived these codes from double skew cyclic codes over F-q.