Skew Cyclic Codes over a Non‐chain Ring | Zendy

Shi Minjia | Zendy; Yao Ting | Zendy; Solé Patrick | Zendy

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Skew Cyclic Codes over a Non‐chain Ring

Author(s) -

Shi Minjia,

Yao Ting,

Solé Patrick

Publication year - 2017

Publication title -

chinese journal of electronics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.267

H-Index - 25

eISSN - 2075-5597

pISSN - 1022-4653

DOI - 10.1049/cje.2017.03.008

Subject(s) - skew , idempotence , ring (chemistry) , generator (circuit theory) , cyclic code , polynomial ring , code (set theory) , polynomial code , mathematics , dual (grammatical number) , discrete mathematics , computer science , polynomial , algorithm , linear code , power (physics) , telecommunications , block code , physics , programming language , chemistry , organic chemistry , art , mathematical analysis , decoding methods , literature , quantum mechanics , set (abstract data type)

We study skew cyclic codes over a nonchain ring, which generalizes our previous results in IEICE Trans. on Fundamentals of Electronic Communications and Computer Sciences , 2015. We describe generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over the ring by a decomposition theorem. The generator polynomial of the dual code of a skew cyclic code are obtained. Moreover, the idempotent generators of skew cyclic codes are considered. Some examples are also presented to illustrate the discussed results.

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