Z_q(Z_q+uZ_q)-Linear Skew Constacyclic Codes

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Ahlem Melakhessou¹  Nuh Aydin²  Zineb Hebbache³  Kenza Guenda³ 

[1] Department of Mathematics, Mostefa Ben Boulaïd University (Batna2);Department of Mathematics and Statistics, Kenyon College;Faculty of Mathematics, Laboratory of Algebra and Number Theory

关键词: Linear codes;    Skew constacyclic codes;    ZqZq[u]− linear skew constacyclic codes;    Bounds;   

DOI  :  10.13069/jacodesmath.671815

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

In this paper, we study skew constacyclic codes over the ring ZqR where R = Zq + uZq, q = psfor a prime p and u2 = 0. We give the definition of these codes as subsets of the ring Zαq Rβ. Somestructural properties of the skew polynomial ring R[x, Θ] are discussed, where Θ is an automorphismof R. We describe the generator polynomials of skew constacyclic codes over ZqR, also we determinetheir minimal spanning sets and their sizes. Further, by using the Gray images of skew constacycliccodes over ZqR we obtained some new linear codes over Z4. Finally, we have generalized these codesto double skew constacyclic codes over ZqR.

【 授权许可】

CC BY