On the classification of weighing matrices and self-orthogonal codes

DOI10.1002/jcd.20295zbMath1252.05026arXiv1011.5382OpenAlexW2085280930MaRDI QIDQ3165557

Masaaki Harada, Akihiro Munemasa

Publication date: 29 October 2012

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5382

zbMATH Keywords

classification method of weighing matricesclassification of self-orthogonal codes

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other types of codes (94B60)

Related Items (10)

Unit gain graphs with two distinct eigenvalues and systems of lines in complex space ⋮ The Hunt for Weighing Matrices of Small Orders ⋮ Signed graphs with at most three eigenvalues ⋮ Signed graphs with two eigenvalues and vertex degree five ⋮ Unnamed Item ⋮ Entropy of orthogonal matrices and minimum distance orthostochastic matrices from the uniform van der Waerden matrices ⋮ Weighing matrices and spherical codes ⋮ Signed (0,2)‐graphs with few eigenvalues and a symmetric spectrum ⋮ Relations between the skew spectrum of an oriented graph and the spectrum of an associated signed graph ⋮ Mutually unbiased weighing matrices

Cites Work

• A complete classification of ternary self-dual codes of length 24
• Self-dual codes over GF(5)
• Classification of weighing matrices of small orders
• Self-dual codes over the integers modulo 4
• Construction of weighing matrices \(W(17,9)\) having the intersection number 8
• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• On the classification of self-dual codes over \(\mathbb F_5\)
• Classification of weighing matrices of order 13 and weight 9
• Self-dual and maximal self-orthogonal codes over \({\mathbb F}_{7}\)
• On the Classification of Self-dual -Codes
• Self-dual codes over<tex>GF(7)</tex>(Corresp.)
• Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20
• On Automorphism Groups of Divisible Designs
• Self-Dual Codes over ${\text{GF}}( 3 )$
• Self-dual codes over<tex>GF(3)</tex>and<tex>GF(4)</tex>of length not exceeding 16
• All self-dual Z/sub 4/ codes of length 15 or less are known
• A Combinatorial Problem
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