13 citations · 61 across the 31 of their papers we have counts for
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math.CO2018★ 6 cited
Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs, and related geometric substructures
Koji Momihara, Qi Wang, Qing Xiang
In this paper, we survey constructions of and nonexistence results on combinatorial/geometric structures which arise from unions of cyclotomic classes of finite fields. In particul…
math.CO2018
New constructions of Hadamard matrices
Ka Hin Leung, Koji Momihara
In this paper, we obtain a number of new infinite families of Hadamard matrices. Our constructions are based on four new constructions of difference families with four or eight blo…
math.CO2018
Skew Hadamard difference families and skew Hadamard matrices
Koji Momihara, Qing Xiang
In this paper, we generalize classical constructions of skew Hadamard difference families with two or four blocks in the additive groups of finite fields given by Szekeres (1969, 1…