Geodesic
Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31
Araya Makoto ; Masaaki Harada1 ; Tonchev Vladimir
1Tohoku University
The electronic journal of combinatorics, Tome 31 (2024) no. 1
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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.
DOI : 10.37236/12249
Classification : 05B20, 05B05, 94B05
Mots-clés : Hadamard designs, ternary near-extremal self-dual codes

Araya Makoto    ; Masaaki Harada  1   ; Tonchev Vladimir 

1 Tohoku University 
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     title = {Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31},
     journal = {The electronic journal of combinatorics},
     year = {2024},
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     doi = {10.37236/12249},
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Araya Makoto; Masaaki Harada; Tonchev Vladimir. Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31. The electronic journal of combinatorics, Tome 31 (2024) no. 1. doi: 10.37236/12249

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