Paley type group schemes from cyclotomic classes and Arasu-Dillon-Player difference sets

Abstract

In this paper, we present constructions of abelian Paley type group schemes by using multiplicative characters of finite fields and Arasu-Dillon-Player difference sets. The constructions produce many new Paley type group schemes that were previous unknown in our classification of Paley type group schemes in finite fields of small orders.

References in corpus (1)

• Evaluation of the weight distribution of a class of cyclic codes based on index 2 Gauss sums

Cited by in corpus (1)

• Three-class association schemes from cyclotomy