Iliya Bouyukliev ; Veerle Fack ; Joost Winne - Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes

dmtcs:3435 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) - https://doi.org/10.46298/dmtcs.3435
Hadamard matrices of order 36 and double-even self-dual [72,36,12] codesArticle

Authors: Iliya Bouyukliev 1; Veerle Fack 2,3; Joost Winne 2,3

  • 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

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.

https://doi.org/10.46298/dmtcs.3435
Source: HAL:hal-01184392v1
Volume: DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Section: Proceedings
Published on: January 1, 2005
Imported on: May 10, 2017
Keywords: Hadamard designs,double-even self-dual codes,[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]

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