Two self-dual codes with larger lengths over ℤ9

DOI10.1142/S1793830915500299zbMath1354.94063MaRDI QIDQ3451067

Jian Gao, Xianfang Wang, Fang-Wei Fu

Publication date: 10 November 2015

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

self-dual codesLee weightquadratic residue codesGray weight

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Cites Work

• A class of constacyclic codes over \(\mathbb F_{p}+v\mathbb F_{p}\) and its Gray image
• Self-dual codes over commutative Frobenius rings
• Cyclic codes over \(R_{k}\)
• MDS and self-dual codes over rings
• New extremal binary self-dual codes of length 68 from quadratic residue codes over \(\mathbb{F}_2 + u \mathbb{F}_2 + u^2 \mathbb{F}_2\)
• Mass formula for self-dual codes over Z\( _{p^2}\)
• MDS codes over finite principal ideal rings
• Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes
• Self-dual codes over \(\mathbb{Z}_8\) and \(\mathbb{Z}_9\)
• On self-dual cyclic codes over finite chain rings
• Quadratic residue codes over \(\mathbb{F}_p + v \mathbb{F}_p\) and their Gray images
• QUADRATIC RESIDUE CODES OVER ℤ₉
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Type II codes, even unimodular lattices, and invariant rings
• Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$

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