A Note on Skew Cyclic Codes over a Class of Rings

• 作者: Hai Q.Dinh Bac T.Nguyen Songsak Sriboonchitta
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 703-712
• 页数: 10页
• 语种: 英文
• DOI: 10.1142/S1005386720000589

摘要

We study skew cyclic codes over a class of rings R =F0 ⊕ F1 ⊕ … ⊕ Ft-1,where each Fi (i =0,...,t-1) is a finite field.We prove that a skew cyclic code of arbitrary length over R is equivalent to either a usual cyclic code or a quasi-cyclic code over R.Moreover,we discuss possible extension of our results in the more general setting of δR-dual skew constacyclic codes over R,where δR is an automorphism of R.