Asymptotically good quasi-cyclic codes of fractional index

DOI10.1016/j.disc.2017.08.042zbMath1401.94230OpenAlexW2760271426MaRDI QIDQ1685979

Xiwang Cao, Jiafu Mi

Publication date: 20 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.disc.2017.08.042

zbMATH Keywords

quasi-cyclic codesrandom codesfractional indexasymptotically good codes

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (10)

Several classes of asymptotically good quasi-twisted codes with a low index ⋮ \( \mathbb{Z}_p\mathbb{Z}_{p^s} \)-additive cyclic codes are asymptotically good ⋮ Hermitian self-dual 2-quasi-abelian codes ⋮ Asymptotically good \(\mathbb{Z}_p\mathbb{Z}_p[u/\langle u^t\rangle\)-additive cyclic codes] ⋮ Weight distribution of double cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four ⋮ Asymptotically good \(\mathbb{Z}_{p^r} \mathbb{Z}_{p^s} \)-additive cyclic codes ⋮ \(\mathbb{Z}_p \mathbb{Z}_p[v\)-additive cyclic codes are asymptotically good] ⋮ Self-orthogonal quasi-abelian codes are asymptotically good ⋮ Weight distribution of double cyclic codes over Galois rings

Cites Work

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• 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.)
• Fundamentals of Error-Correcting Codes
• Codes Closed under Arbitrary Abelian Group of Permutations
• Good self-dual quasi-cyclic codes exist
• Double circulant matrices
• Some results on quasi-cyclic codes

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