Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)

Tenghui Deng and Jing Yang
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Tenghui Deng: Department of Mathematics, Tsinghua University, Beijing 100084, China
Jing Yang: Department of Mathematics, Tsinghua University, Beijing 100084, China

Mathematics, 2020, vol. 8, issue 10, 1-22

Abstract: In this paper, an algebraic structure of a type of double cyclic codes is investigated, which covers some existing codes as special cases. The paper presents generic results about the generating polynomials, minimal generating sets, matrices and dual codes of the proposed codes.

Keywords: double cyclic codes; generating matrices; generating polynomials; minimal generating sets; non-chain rings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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