4 citations · 12 across the 13 of their papers we have counts for
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Cyclotomic construction of -fold near-factorizations of cyclic groups
Shuxing Li, Koji Momihara
The study of near-factorizations of finite groups dates back to the 1950s. Recently, this topic has attracted renewed attention, and the concept has been extended to -fold near-…
Pure Gauss sums and skew Hadamard difference sets
Koji Momihara
Chowla~(1962), McEliece~(1974), Evans~(1977, 1981) and Aoki~(1997, 2004, 2012) studied Gauss sums, some integral powers of which are in the field of rational numbers. Such Gauss su…
New constructions of strongly regular Cayley graphs on abelian groups
Koji Momihara
Davis and Jedwab (1997) established a great construction theory unifying many previously known constructions of difference sets, relative difference sets and divisible difference s…
A new family of Hadamard matrices of order
Ka Hin Leung, Koji Momihara, Qing Xiang
Let be a prime power of the form with an arbitrary integer. In this paper we construct a difference family with parameters …
Generalized constructions of Menon-Hadamard difference sets
Koji Momihara, Qing Xiang
We revisit the problem of constructing Menon-Hadamard difference sets. In 1997, Wilson and Xiang gave a general framework for constructing Menon-Hadamard difference sets by using a…
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…