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
Type de document :
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
Liste complète des métadonnées

Littérature citée [10 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01184392
Contributeur : Coordination Episciences Iam <>
Soumis le : lundi 17 août 2015 - 09:06:59
Dernière modification le : jeudi 11 mai 2017 - 01:03:04
Document(s) archivé(s) le : mercredi 18 novembre 2015 - 10:35:05

Fichier

dmAE0119.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01184392, version 1

Collections

INSMI | TDS-MACS

Citation

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〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

242

Téléchargements de fichiers

177

Contact


archive-ouverte@inria.fr