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math.CO2023
On Constructions and Enumeration of Vectorial Hyper-bent Functions in the $\cP\cS_{ap}^{\#}$ Class
Jingkun Zhou, Chunming Tang, Fengrong Zhang
The purpose of this paper is to give explicit constructions of vectorial hyper-bent functions in the $\cP\cS_{ap}^{\#}$ class. It seems that the explicit constructions were so far…
math.CO2020
On codes in the projective linear group
Tao Feng, Weicong Li, Jingkun Zhou
In this paper, we resolve a conjecture of Green and Liebeck [Disc. Math., 343 (8):117119, 2019] on codes in . To be specific, we show that: if is a dihedral subgroup…
math.CO2020
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…