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Skew Cyclic Codes over F-q + vF(q) + v(2)Fq
Journal article   Peer reviewed

Skew Cyclic Codes over F-q + vF(q) + v(2)Fq

Minjia Shi, Ting Yao, Adel Alahmadi and Patrick Sole
IEICE transactions on fundamentals of electronics, communications and computer sciences, Vol.E98A(8), pp.1845-1848
01/08/2015

Abstract

Computer Science Computer Science, Hardware & Architecture Computer Science, Information Systems Engineering Engineering, Electrical & Electronic Science & Technology Technology
In this article, we study skew cyclic codes over R = F-q + vF(q) + v(2)F(q), where q = p(m), p is an odd prime and v(3) = v. We describe the generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over R by a decomposition theorem. We also describe the generator polynomial of the dual of a skew cyclic code over R. Moreover, the idempotent generators of skew cyclic codes over F-q and R are considered.

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