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

Iliya Bouyukliev 1 Veerle Fack 2, 3 Joost Winne 2, 3
1 IMI - Institute of Mathematics and Informatics [Sofia]
2 Department of Applied Mathematics and Computer Science [Ghent]
3 Ghent University - Research Group on Combinatorial Algorithms and Algorithmic Graph Theory
UGENT - Ghent University [Belgium]
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 : Hadamard designs double-even self-dual codes
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Communication dans un congrès
Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.93-98, 2005, DMTCS Proceedings
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Iliya Bouyukliev, Veerle Fack, Joost Winne. Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes. Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.93-98, 2005, DMTCS Proceedings. 〈hal-01184392〉

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