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Generating generalized necklaces and new quasi-cyclic codes

Rumen Daskalov, Elena Metodieva

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Source: Crossref

Published: Sep 6, 2020

DOI: 10.13069/jacodesmath.784999

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Source 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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Generating generalized necklaces and new quasi-cyclic codes — Mathematical Frontier Network