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] codesConference paper

Authors: 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]


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: [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], [en] Hadamard designs, double-even self-dual codes

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