On equivalency of zero-divisor codes via classifying their idempotent generator

DOI10.1007/s10623-020-00762-7zbMath1465.94143OpenAlexW3034089015MaRDI QIDQ2004965

Miin Huey Ang, Kai Lin Ong

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10623-020-00762-7

zbMATH Keywords

idempotentcode equivalencygroup ring codezero-divisor code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other types of codes (94B60) Subnormal subgroups of abstract finite groups (20D35)

Related Items (2)

On equivalence of cyclic and dihedral zero-divisor codes having nilpotents of nilpotency degree two as generators ⋮ Burst error-correcting quantum stabilizer codes designed from idempotents

Cites Work

• Unnamed Item
• Codes from zero-divisors and units in group rings
• Minimal cyclic codes of length \(p^nq\)
• Idempotents in group algebras and minimal abelian codes
• An introduction to group rings
• Convolutional codes from units in matrix and group rings
• An elementary proof of the MacWilliams theorem on equivalence of codes
• Study of idempotents in cyclic group rings over F2
• Binary Codes Which Are Ideals in the Group Algebra of an Abelian Group
• On the theory of group codes

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