Self-dual doubly circulant codes

DOI10.1016/0012-365X(85)90036-6zbMath0581.94012WikidataQ126803114 ScholiaQ126803114MaRDI QIDQ1068789

M. Ventou, C. Rigoni

Publication date: 1985

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

zbMATH Keywords

orthogonal circulant matrices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (11)

Some constructions of quantum MDS codes ⋮ Self-dual and LCD double circulant codes over a class of non-local rings ⋮ Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes ⋮ Self-dual codes using bisymmetric matrices and group rings ⋮ The explicit identities for spectral norms of circulant-type matrices involving binomial coefficients and harmonic numbers ⋮ On self-dual double circulant codes ⋮ On self-dual double negacirculant codes ⋮ Type II self-dual codes over finite rings and even unimodular lattices ⋮ MDS self-dual codes over large prime fields ⋮ Important algebraic calculations for \(n\)-variables polynomial codes ⋮ Automorphisms of principal nilpotent self-dual codes in certain modular algebras

Cites Work

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• Orthogonal circulant matrices over finite fields, and how to find them
• Bemerkungen über die Verteilung der quadratischen Reste
• Ideaux principaux nilpoitnis de dimension maximale dans l'algebre F_q[G d'un groupe abelien fini g]
• (v, k, λ) Configurations and self-dual codes
• Self-Dual Codes over ${\text{GF}}( 3 )$
• Decoding of circulant codes (Corresp.)

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