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math.CO2023★ 1 cited
Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31
Makoto Araya, Masaaki Harada, Vladimir D. Tonchev
A classification of Hadamard matrices of order with an automorphism of order is given for and . The ternary self-dual codes spanned by the newly found Hadamar…
math.CO2023
Ternary extremal four-negacirculant self-dual codes
Masaaki Harada, Keita Ishizuka, Hadi Kharaghani
In this note, we give basic properties of ternary four-negacirculant self-dual codes. By exhaustive computer search based on the properties, we complete a classification of ternary…
math.CO2023
Hadamard matrices of order formed by codewords in some ternary self-dual codes
Masaaki Harada, Keita Ishizuka
In this note, we study the existence of Hadamard matrices of order formed by codewords of weight in some ternary near-extremal self-dual codes of length .