A generalization of cyclic code equivalence algorithm to constacyclic codes

DOI10.1007/s10623-022-01124-1OpenAlexW3195327334WikidataQ114849601 ScholiaQ114849601MaRDI QIDQ2692951

Matthew J. Harrington, Dev Akre, Saurav R. Pandey, Nuh Aydin

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2108.08619

zbMATH Keywords

quasi-cyclic codesself-orthogonal codesreversible codesbest known codesLCD codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Uses Software

• Magma

Cites Work

• Some results on the structure of constacyclic codes and new linear codes over \(\mathrm{GF}(7)\) from quasi-twisted codes
• Linear codes with complementary duals
• New binary linear codes from quasi-cyclic codes and an augmentation algorithm
• Some generalizations of the ASR search algorithm for quasitwisted codes
• On equivalence of cyclic codes, generalization of a quasi-twisted search algorithm, and new linear codes
• A generalization of quasi-twisted codes: multi-twisted codes
• A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
• Is code equivalence easy to decide?
• The intractability of computing the minimum distance of a code
• Fundamentals of Error-Correcting Codes
• Error Correcting Codes in Quantum Theory
• Quantum Error Correction and Orthogonal Geometry
• Quantum codes from a class of constacyclic codes over finite commutative rings
• A class of constacyclic codes from group algebras
• Reversible codes
• The structure of 1-generator quasi-twisted codes and new linear codes
• A new algorithm for equivalence of cyclic codes and its applications

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