96 citations · 292 across the 62 of their papers we have counts for
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Complex Hadamard matrices attached to even orthogonal schemes of class 4
Takuya Ikuta, Akihiro Munemasa
A complex Hadamard matrix is a square matrix W with complex entries of absolute value 1 satisfying WW*=nI, where * stands for the Hermitian transpose and I is the identity matrix o…
Transforming a matrix into a standard form
Akihiro Munemasa, Pritta Etriana Putri
We show that every matrix all of whose entries are in a fixed subgroup of the group of units of a commutative ring with identity is equivalent to a standard form. As a consequence,…
Self-dual codes and the non-existence of a quasi-symmetric 2-(37,9,8) design with intersection numbers 1 and 3
Masaaki Harada, Akihiro Munemasa, Vladimir D. Tonchev
We prove that a certain binary linear code associated with the incidence matrix of a quasi-symmetric 2-(37,9,8) design with intersection numbers 1 and 3 must be contained in an ext…
A note on the Brawley-Carlitz theorem on irreducibility of composed products of polynomials over finite fields
Akihiro Munemasa, Hiroko Nakamura
We give a new proof of the Brawley-Carlitz theorem on irreducibility of the composed products of irreducible polynomials. Our proof shows that associativity of the binary operation…