Generalized cyclotomic numbers and cyclic codes of prime power length over Z4

DOI10.1142/S1793557119500852zbMath1420.94109OpenAlexW2883416574MaRDI QIDQ5193487

Sonal Jain, Sudhir Batra

Publication date: 10 September 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500852

zbMATH Keywords

primitive idempotentsself-dual codescyclotomic numberscyclic codesgenerator polynomialsisodual codesHensel lift

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15) Cyclotomy (11T22)

Related Items (1)

Cyclic self dual codes of length pq over Z₄

Cites Work

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• The primitive idempotents of a cyclic group algebra. II.
• Companion Matrix and Recognition of Primitive Polynomial
• Cyclotomy and duadic codes of prime lengths
• Quaternary quadratic residue codes and unimodular lattices
• Cyclic codes and quadratic residue codes over Z/sub 4/

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