HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

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 - Universiteit Gent = 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
Document type :
Conference papers
Complete list of metadata

Cited literature [10 references]  Display  Hide  Download
https://hal.inria.fr/hal-01184392
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Monday, August 17, 2015 - 9:06:59 AM
Last modification on : Wednesday, November 3, 2021 - 2:56:50 PM
Long-term archiving on: : Wednesday, November 18, 2015 - 10:35:05 AM

File

Vignette du document
dmAE0119.pdf
Publisher files allowed on an open archive

Identifiers

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. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. pp.93-98, ⟨10.46298/dmtcs.3435⟩. ⟨hal-01184392⟩

Export

BibTeX TEI DC DCterms EndNote Datacite

Share

Metrics

Record views

68

Files downloads

455

 

Contact                    Legal Notice                    Personal Data