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Nonexistence results and constructions for signed difference sets
Zhiwen He, Jiayan Wu
Signed difference sets (SDSs) extend ordinary difference sets by allowing negative coefficients. We establish new nonexistence criteria and existence constructions for SDSs in fini…
New constructions of signed difference sets
Zhiwen He, Tingting Chen, Gennian Ge
Signed difference sets have interesting applications in communications and coding theory. A -difference set in a finite group of order is a subset of with…
On central difference sets in Suzuki -groups of type
Wendi Di, Zhiwen He
In this paper, when the order of is even, we prove that there exists no central difference sets in and establish some non-existence results of central partial differ…
Two Kinds of Constructions of Directed Strongly Regular Graphs from Partial Sum Families and Semi-direct Products of Groups
Jingkun Zhou, Zhiwen He, Zhao Chai
In this paper, we construct directed strongly regular graphs with new parameters by using partial sum families with local rings. 16 families of new directed strongly regular graphs…
Partial difference sets and amorphic Cayley schemes in non-abelian -groups
Tao Feng, Zhiwen He, Yu Qing Chen
In this paper, we consider regular automorphism groups of graphs in the RT family and the Davis-Xiang family and amorphic abelian Cayley schemes from these graphs. We derive gen…