One-Generator Quasi-Abelian Codes Revisited

zbMath1423.94164arXiv1602.02376MaRDI QIDQ5241138

Somphong Jitman, Pattanee Udomkavanich

Publication date: 30 October 2019

Full work available at URL: https://arxiv.org/abs/1602.02376

zbMATH Keywords

group algebrasminimum distancesquasi-abelian codes1-generator

Mathematics Subject Classification ID

Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other types of codes (94B60) Cyclic codes (94B15)

Uses Software

• Magma
• Code Tables

Cites Work

• Fixed point theorems for the generalized \(\Psi\)-set contraction mapping on an abstract convex space
• The Magma algebra system. I: The user language
• Quasi-abelian codes
• 1-generator quasi-cyclic codes
• On the Algebraic Structure of Quasi-Cyclic Codes III: Generator Theory
• A Class of 1-Generator Quasi-Cyclic Codes
• Split group codes
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Good self-dual quasi-cyclic codes exist
• On the theory of group codes
• Algebraic structure of quasicyclic codes
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