Double skew cyclic codes over F_q + uF_q

Subject Areas : Algebra

Fateme Bakhtiyari, ¹ , , Roghaye Mohammadi Hesari ² , Rashid Rezaei ^{3 *} , Karim Samei, ⁴

1 - Department of Mathematics, Malayer University, Malayer, Iran
2 - Department of Mathematics, Malayer University, Malayer, Iran
3 - Department of Mathematics, Malayer University, Malayer, Iran
4 - Department of Mathematics, Bu Ali Sina University, Hamedan Iran

Received: 2021-12-03 Accepted : 2023-06-25 Published : 2024-11-30

Keywords: کد دوری اریب مضاعف, مجموعه ی مولد مینیمال, حلقه ی زنجیری, کد جدایی پذیر,

Abstract :

In this paper, we study the algebraic structure of double skew cyclic codes over F_q + uF_q and determine a set of generator polynomials for this family of codes. Also, we show that these codes will be classified into sixteen distinct types of submodules. Then, we introduce the separable double skew cyclic codes over F_q +uF_q and determine the minimal spanning set and dual of them. Finally, we present some examples of separable double skew cyclic codes. In this paper, we study the algebraic structure of double skew cyclic codes over F_q + uF_q and determine a set of generator polynomials for this family of codes. Also, we show that these codes will be classified into sixteen distinct types of submodules. Then, we introduce the separable double skew cyclic codes over F_q +uF_q and determine the minimal spanning set and dual of them. Finally, we present some examples of separable double skew cyclic codes.

References:


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