A relation between quasi-cyclic codes and 2-D cyclic codes

DOI10.1016/j.ffa.2011.07.004zbMath1231.94072OpenAlexW2038019554MaRDI QIDQ661981

Ferruh Özbudak, Cem Güneri

Publication date: 11 February 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.07.004

zbMATH Keywords

trace representationquasi-cyclic code2-D cyclic code

Mathematics Subject Classification ID

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

Related Items

Quasi-twisted codes with constacyclic constituent codes, Two dimensional constacyclic codes of arbitrary length over finite fields, Quasi-cyclic complementary dual codes, 2-D skew-cyclic codes over \(\mathbb F_q[x,y;\rho ,\theta\)], A minimum distance bound for 2-dimension \(\lambda\)-quasi-twisted codes over finite fields, A minimum distance bound for quasi-\(n\)D-cyclic codes, Multidimensional quasi-twisted codes: equivalent characterizations and their relation to multidimensional convolutional codes, Supersingular curves over finite fields and weight divisibility of codes, Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes

Cites Work

• Unnamed Item
• On quintic quasi-cyclic codes
• On the algebraic structure of quasi-cyclic codes. II: Chain rings
• Quasi-cyclic codes with cyclic constituent codes
• Multidimensional cyclic codes and Artin-Schreier type hypersurfaces over finite fields
• On the algebraic structure of quasi-cyclic codes. IV: Repeated roots
• Artin-Schreier curves and weights of two-dimensional cyclic codes
• Decoding binary 2-D cyclic codes by the 2-D Berlekamp-Massey algorithm
• On the Algebraic Structure of Quasi-Cyclic Codes III: Generator Theory
• Some best rate 1/p and rate (p-1)/p systematic quasi-cyclic codes over GF(3) and GF(4)
• A Gilbert-Varshamov bound for quasi-cycle codes of rate 1/2 (Corresp.)
• A theory of two-dimensional cyclic codes
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Algebraic-geometric codes and multidimensional cyclic codes: a unified theory and algorithms for decoding using Grobner bases
• Algebraic structure of quasicyclic codes