$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS

Facta Universitatis. Series Mathematics and Informatics

article

Madeleine Al Tahan¹  Bijan Davvaz² 

[1] Lebanese International University;Yazd University

关键词: Krasner hyperring;    hyperfield;    hyperring of polynomials;    linear code;    $\lambda$-constacyclic code.;   

DOI  :  10.22190/FUMI200819002A

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

The class of constacyclic codes plays an important role in the theory or error-correcting codes. They are considered as a remarkable generalization of cyclic codes.  In this paper, we study constacyclic codes over finite Krasner hyperfields in which we characterize them by their generating polynomial. Moreover, we study the dual of these codes by finding their parity check polynomial.

【 授权许可】

Unknown