Document Type
Article
Publication Date
2-23-2024
Department
Department of Mathematical Sciences
Abstract
A classification of Hadamard matrices of order 2p + 2 with an automorphism of order p is given for p = 29 and 31. The ternary self-dual codes spanned by the newly found Hadamard matrices of order 60 with an automorphism of order 29 are computed, as well as the binary doubly even self-dual codes of length 120 with generator matrices defined by related Hadamard designs. Several new ternary near-extremal self-dual codes, as well as binary near-extremal doubly even self-dual codes with previously unknown weight enumerators are found.
Publication Title
Electronic Journal of Combinatorics
Recommended Citation
Araya, M.,
Harada, M.,
&
Tonchev, V.
(2024).
Hadamard Matrices of Orders 60 and 64 with Automorphisms of Orders 29 and 31.
Electronic Journal of Combinatorics,
31(1).
http://doi.org/10.37236/12249
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/542
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Version
Publisher's PDF
Publisher's Statement
© 2024. The authors. Publisher’s version of record: https://doi.org/10.37236/12249