Singly-even self-dual codes and Hadamard matrices

Masaaki Harada; Vladimir D. Tonchev

Singly-even self-dual codes and Hadamard matrices

Masaaki Harada, Vladimir D. Tonchev

INF - System Information Sciences

Michigan Technological University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

12 Citations (Scopus)

Abstract

A construction of binary self-dual singly-even codes from Hadamard matrices is described. As an application, all inequivalent extremal singly-even [40,20,8] codes derived from Hadamard matrices of order 20 are enumerated.

Original language	English
Title of host publication	Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 11th International Symposium, AAECC, Proceedings
Editors	Gerard Cohen, Marc Giusti, Teo Mora
Publisher	Springer Verlag
Pages	279-284
Number of pages	6
ISBN (Print)	9783540601142
Publication status	Published - 1995
Event	11th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1995 - Paris, France Duration: 1995 Jul 17 → 1995 Jul 22

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	948
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	11th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1995
Country/Territory	France
City	Paris
Period	95/7/17 → 95/7/22

Cite this

Harada, M., & Tonchev, V. D. (1995). Singly-even self-dual codes and Hadamard matrices. In G. Cohen, M. Giusti, & T. Mora (Eds.), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 11th International Symposium, AAECC, Proceedings (pp. 279-284). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 948). Springer Verlag.

Harada, Masaaki ; Tonchev, Vladimir D. / Singly-even self-dual codes and Hadamard matrices. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 11th International Symposium, AAECC, Proceedings. editor / Gerard Cohen ; Marc Giusti ; Teo Mora. Springer Verlag, 1995. pp. 279-284 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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author = "Masaaki Harada and Tonchev, {Vladimir D.}",

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Harada, M & Tonchev, VD 1995, Singly-even self-dual codes and Hadamard matrices. in G Cohen, M Giusti & T Mora (eds), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 11th International Symposium, AAECC, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 948, Springer Verlag, pp. 279-284, 11th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1995, Paris, France, 95/7/17.

Singly-even self-dual codes and Hadamard matrices. / Harada, Masaaki; Tonchev, Vladimir D.
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 11th International Symposium, AAECC, Proceedings. ed. / Gerard Cohen; Marc Giusti; Teo Mora. Springer Verlag, 1995. p. 279-284 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 948).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Tonchev, Vladimir D.

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 1995.

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Y1 - 1995

N2 - A construction of binary self-dual singly-even codes from Hadamard matrices is described. As an application, all inequivalent extremal singly-even [40,20,8] codes derived from Hadamard matrices of order 20 are enumerated.

AB - A construction of binary self-dual singly-even codes from Hadamard matrices is described. As an application, all inequivalent extremal singly-even [40,20,8] codes derived from Hadamard matrices of order 20 are enumerated.

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T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 11th International Symposium, AAECC, Proceedings

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T2 - 11th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1995

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Harada M, Tonchev VD. Singly-even self-dual codes and Hadamard matrices. In Cohen G, Giusti M, Mora T, editors, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 11th International Symposium, AAECC, Proceedings. Springer Verlag. 1995. p. 279-284. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

Singly-even self-dual codes and Hadamard matrices

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