Double Cyclic Codes over q + v q

Double Cyclic Codes over q + v q

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.

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Veröffentlicht in:Mathematics (Basel) 2020-01, Vol.8 (10), p.1820
Hauptverfasser: Deng, Tenghui, Yang, Jing
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Binary system
Codes
Coding theory
Food science
Investigations
Linear codes
Polynomials
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Zusammenfassung: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.
ISSN:2227-7390
DOI:10.3390/math8101820