Quasi-Cyclic Subcodes of Cyclic Codes

DOI10.1137/16M1065604zbMath1366.94634arXiv1603.05063OpenAlexW2963524059MaRDI QIDQ5275438

Buket Özkaya, Cem Güneri, Jean-Claude Belfiore

Publication date: 14 July 2017

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05063

zbMATH Keywords

enumerationcyclic codeindexquasi-cyclic codesubcode

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other types of codes (94B60) Cyclic codes (94B15)

Uses Software

• Magma

Cites Work

• Unnamed Item
• The Magma algebra system. I: The user language
• Supersingular curves over finite fields and weight divisibility of codes
• Artin-Schreier curves and weights of two-dimensional cyclic codes
• On Existence of Good Self-Dual Quasi-Cyclic Codes
• New binary one-generator quasi-cyclic codes
• New Quasi-Cyclic Codes From Simplex Codes
• Self-Dual Doubly Even $2$-Quasi-Cyclic Transitive Codes Are Asymptotically Good
• A Gilbert-Varshamov bound for quasi-cycle codes of rate 1/2 (Corresp.)
• Good self-dual quasi-cyclic codes exist

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