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29 March 2024
 
  » arxiv » 1201.0701

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Constructions of Strongly Regular Cayley Graphs and Skew Hadamard Difference Sets from Cyclotomic Classes
Tao Feng ; Koji Momihara ; Qing Xiang ;
Date 3 Jan 2012
AbstractIn this paper, we give a construction of strongly regular Cayley graphs and a construction of skew Hadamard difference sets. Both constructions are based on choosing cyclotomic classes in finite fields, and they generalize the constructions given by Feng and Xiang cite{FX111,FX113}. Three infinite families of strongly regular graphs with new parameters are obtained. The main tools that we employed are index 2 Gauss sums, instead of cyclotomic numbers.
Source arXiv, 1201.0701
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