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  1. Home > Articles & Issues >
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Conference paper

Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes

Iliya Bouyukliev (1), Veerle Fack (2) (3) (4), Joost Winne (2) (3) (4)
(1) Institute of Mathematics and Informatics [Sofia]
(2) Department of Applied Mathematics and Computer Science [Ghent]
(3) Research Group on Combinatorial Algorithms and Algorithmic Graph Theory
(4) Department of Mathematics, Computer Science and Statistics [Ghent]
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Imported on
May 10, 2017
Published on
December 31, 2004
Last modified on
March 31, 2025
Volume 0
DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Proceedings
DOI
10.46298/dmtcs.3435
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https://about.hal.science/hal-authorisation-v1
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Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes

Iliya Bouyukliev (1), Veerle Fack (2) (3) (4), Joost Winne (2) (3) (4)
(1) Institute of Mathematics and Informatics [Sofia]
(2) Department of Applied Mathematics and Computer Science [Ghent]
(3) Research Group on Combinatorial Algorithms and Algorithmic Graph Theory
(4) Department of Mathematics, Computer Science and Statistics [Ghent]
Abstract
Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an automorphism of order 3 and 2 fixed points and blocks.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-HC]Computer Science [cs]/Human-Computer Interaction [cs.HC]
  • Hadamard designs
  • double-even self-dual codes
Cited by

Source: OpenCitations

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