Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895678 | Finite Fields and Their Applications | 2018 | 16 Pages |
Abstract
Let Fpm be a finite field with cardinality pm and R=Fpm+uFpm with u2=0. We aim to determine all α+uβ-constacyclic codes of length nps over R, where α,βâFpmâ, n,sâN+ and gcdâ¡(n,p)=1. Let α0âFpmâ and α0ps=α. The residue ring R[x]/ãxnpsâαâuβã is a chain ring with the maximal ideal ãxnâα0ã in the case that xnâα0 is irreducible in Fpm[x]. If xnâα0 is reducible in Fpm[x], we give the explicit expressions of the ideals of R[x]/ãxnpsâαâuβã. Besides, the number of codewords and the dual code of every α+uβ-constacyclic code are provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wei Zhao, Xilin Tang, Ze Gu,