Quaternary 1-generator quasi-cyclic codes

DOI10.1007/S10623-010-9381-0zbMath1274.94146OpenAlexW1982892868MaRDI QIDQ629877

Junying Pei, Jie Cui

Publication date: 10 March 2011

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-010-9381-0

zbMATH Keywords

annihilatordirect sum decompositionquasi-cyclic code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (7)

Unnamed Item ⋮ 1-generator quasi-cyclic codes over \(\mathbb F_{p^m}+u\mathbb F_{p^m}+\cdots+u^{s-1}F_{p^m}\) ⋮ 1-generator quasi-cyclic codes over finite chain rings ⋮ Left dihedral codes over Galois rings \(\mathrm{GR}(p^2, m)\) ⋮ Cyclic codes of odd length over \(\mathbb{Z}_4 [u/u^k\)] ⋮ A class of 1-generator repeated root quasi-cyclic codes ⋮ A class of 1-generator quasi-cyclic codes over finite chain rings

Cites Work

• On the algebraic structure of quasi-cyclic codes. II: Chain rings
• A Class of 1-Generator Quasi-Cyclic Codes
• A transform theory for a class of group-invariant codes
• Some (ink, k) cyclic codes in quasi-cyclic form (Corresp.)
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Two new rate 2/p binary quasi-cyclic codes
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Some rate-<tex>p/(p+1)</tex>quasi-cyclic codes (Corresp.)
• Algebraic structure of quasicyclic codes
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