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Double skew cyclic codes over F_q + uF_q | ||
Journal of New Researches in Mathematics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 تیر 1402 | ||
نوع مقاله: research paper | ||
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.64602.2189 | ||
نویسندگان | ||
Fateme Bakhtiyari,1؛ , Roghaye Mohammadi Hesari1؛ Rashid Rezaei ![]() ![]() ![]() | ||
1Department of Mathematics, Malayer University, Malayer, Iran | ||
2Department of Mathematics, Malayer University, Malayer, Iran | ||
3Department of Mathematics, Bu Ali Sina University, Hamedan Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Chain ring؛ Double skew cyclic code؛ Separable code؛ Minimal spanning set | ||
آمار تعداد مشاهده مقاله: 64 |