Classification of All Cyclic Codes over the Finite Chain Ring Z4+wZ4 of Length 4s

Abstract: The study of cyclic codes over finite chain rings is becoming more and more important in the coding theory. Codes over rings have been studied extensively in the past decade. In this study, cyclic codes of length 4^s over the finite chain ring R = Z₄+wZ₄ are studied. By using ideals from the residue ring all cyclic codes of length 4^s over the ring R are classified into 16 types and their structures in each of those cyclic codes are obtained.

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Xiaofang Xu and Shujie Yun, 2013. Classification of All Cyclic Codes over the Finite Chain Ring Z₄+wZ₄ of Length 4^s. Journal of Applied Sciences, 13: 1037-1044.

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Journal of Applied Sciences

Year: 2013 | Volume: 13 | Issue: 7 | Page No.: 1037-1044
DOI: 10.3923/jas.2013.1037.1044

Classification of All Cyclic Codes over the Finite Chain Ring Z₄+wZ₄ of Length 4^s

Xiaofang Xu and Shujie Yun

How to cite this article

Xiaofang Xu and Shujie Yun, 2013. Classification of All Cyclic Codes over the Finite Chain Ring Z₄+wZ₄ of Length 4^s. Journal of Applied Sciences, 13: 1037-1044.

HOME JOURNALS CONTACT

Journal of Applied Sciences

Year: 2013 | Volume: 13 | Issue: 7 | Page No.: 1037-1044 DOI: 10.3923/jas.2013.1037.1044

Classification of All Cyclic Codes over the Finite Chain Ring Z4+wZ4 of Length 4s

Xiaofang Xu and Shujie Yun

How to cite this article

Xiaofang Xu and Shujie Yun, 2013. Classification of All Cyclic Codes over the Finite Chain Ring Z4+wZ4 of Length 4s. Journal of Applied Sciences, 13: 1037-1044.

Year: 2013 | Volume: 13 | Issue: 7 | Page No.: 1037-1044
DOI: 10.3923/jas.2013.1037.1044

Classification of All Cyclic Codes over the Finite Chain Ring Z₄+wZ₄ of Length 4^s

Xiaofang Xu and Shujie Yun, 2013. Classification of All Cyclic Codes over the Finite Chain Ring Z₄+wZ₄ of Length 4^s. Journal of Applied Sciences, 13: 1037-1044.