Generating generalized necklaces and new quasi-cyclic codes

Authors

DOI:

https://doi.org/10.13069/jacodesmath.784999

Keywords:

Finite field, Quasi-cyclic linear codes, Necklaces

Abstract

In many cases there is a need of exhaustive lists of combinatorial objects of a given type. We consider generation of all inequivalent polynomials from which defining polynomials for constructing quasi-cyclic (QC) codes are to be chosen. Using these defining polynomials we construct 34 new good QC codes over GF(11) and 36 such codes over GF(13).

Received: 23 May 2019 | Accepted: 25 March 2020

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Published

2020-09-06

How to Cite

Daskalov, R., & Metodieva, E. (2020). Generating generalized necklaces and new quasi-cyclic codes. Journal of Algebra Combinatorics Discrete Structures and Applications, 7(3), 237–245. https://doi.org/10.13069/jacodesmath.784999

Issue

Vol. 7 Issue 3: September 2020

Section

Articles