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

Department of Mathematics, Tsinghua University, Beijing 100084, China
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Mathematics 2020, 8(10), 1820; https://doi.org/10.3390/math8101820
Received: 14 September 2020 / Revised: 8 October 2020 / Accepted: 10 October 2020 / Published: 17 October 2020
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. View Full-Text
Keywords: double cyclic codes; generating matrices; generating polynomials; minimal generating sets; non-chain rings double cyclic codes; generating matrices; generating polynomials; minimal generating sets; non-chain rings
MDPI and ACS Style

Deng, T.; Yang, J. Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\). Mathematics 2020, 8, 1820.

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