On the classification of self-dual \([20,10,9]\) codes over \(\mathrm{GF}(7)\)

DOI10.1016/j.ffa.2016.07.004zbMath1364.94608arXiv1509.03731OpenAlexW2264553997MaRDI QIDQ324265

Masaaki Harada, Akihiro Munemasa

Publication date: 10 October 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03731

zbMATH Keywords

self-dual codeskew-Hadamard matrixunimodular lattice

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Quadratic forms over global rings and fields (11E12)

Related Items (2)

Orbit matrices of Hadamard matrices and related codes ⋮ LCD codes from weighing matrices

Uses Software

• Magma
• Hadamard
• Code Tables

Cites Work

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• The codes and the lattices of Hadamard matrices
• Double circulant and quasi-twisted self-dual codes over \(\mathbb F_5\) and \(\mathbb F_7\)
• Orthogonal arrays. Theory and applications
• New optimal self-dual codes over GF(7).
• The Magma algebra system. I: The user language
• Self-dual and maximal self-orthogonal codes over \({\mathbb F}_{7}\)
• Doubly regular tournaments are equivalent to skew Hadamard matrices
• Classification of ternary extremal self-dual codes of length 28
• Hadamard Matrices of Order 32
• Conference matrices and unimodular lattices

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