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arXiv · 1210.2801

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

Yu Qing Chen·Tao Feng
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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.

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Yu Qing Chen, Tao Feng. 2012-10-10. Paley type group schemes from cyclotomic classes and Arasu-Dillon-Player difference sets. https://arxiv.org/abs/1210.2801

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