One-generator quasi-cyclic codes and their dual codes

DOI10.1016/j.disc.2023.113369OpenAlexW4320890236MaRDI QIDQ2699936

Tushar Bag, Daniel Panario, Kanat S. Abdukhalikov

Publication date: 20 April 2023

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

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113369

zbMATH Keywords

dual codesquantum error-correcting codes (QECCs)quasi cyclic (QC) codes

Mathematics Subject Classification ID

Theory of error-correcting codes and error-detecting codes (94Bxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Finite fields and commutative rings (number-theoretic aspects) (11Txx)

Uses Software

• Magma

Cites Work

• On the algebraic structure of quasi-cyclic codes. II: Chain rings
• Quasi-cyclic constructions of quantum codes
• Structural properties and enumeration of quasi cyclic codes
• Quantum codes derived from one-generator quasi-cyclic codes with Hermitian inner product
• On the algebraic structure of quasi-cyclic codes. IV: Repeated roots
• On the Algebraic Structure of Quasi-Cyclic Codes III: Generator Theory
• A Class of 1-Generator Quasi-Cyclic Codes
• Nonbinary Stabilizer Codes Over Finite Fields
• On Quantum and Classical BCH Codes
• A Gilbert-Varshamov bound for quasi-cycle codes of rate 1/2 (Corresp.)
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Nonbinary quantum stabilizer codes
• Good self-dual quasi-cyclic codes exist
• Quantum error correction via codes over GF(4)
• Algebraic structure of quasicyclic codes
• The structure of 1-generator quasi-twisted codes and new linear codes

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