13 citations · 61 across the 31 of their papers we have counts for
8 papers · 1 filter
Lifting Constructions of Strongly Regular Cayley Graphs
Koji Momihara, Qing Xiang
We give two "lifting" constructions of strongly regular Cayley graphs. In the first construction we "lift" a cyclotomic strongly regular graph by using a subdifference set of the S…
Divisible difference families from Galois rings GR(4,n) and Hadamard matrices
Koji Momihara, Mieko Yamada
We give a new construction of difference families generalizing Szekeres's difference families \cite{Sze}. As an immediate consequence, we obtain some new examples of difference fam…
Three-class association schemes from cyclotomy
Tao Feng, Koji Momihara
We give three constructions of three-class association schemes as fusion schemes of the cyclotomic scheme, two of which are primitive
Note on divisible difference sets from Galois rings GR(9,n)
Koji Momihara
In this note, we give a new construction of divisible difference sets in using Galois ring under the assumption of the existence of skew Hadamard diffe…
Skew Hadamard difference sets from cyclotomic strongly regular graphs
Koji Momihara
We find new constructions of infinite families of skew Hadamard difference sets in elementary abelian groups under the assumption of the existence of cyclotomic strongly regular gr…
Evaluation of the weight distribution of a class of cyclic codes based on index 2 Gauss sums
Tao Feng, Koji Momihara
The duals of cyclic codes with two zeros have been extensively studied, and their weight distributions have recently been evaluated in some cases. In this note, we determine the we…