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ALGEBRAIC
COMBINATORICS

  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

Strongly regular graphs constructed from p-ary bent functions

Yeow Meng Chee , Yin Tan and Xian De Zhang

DOI: 10.1007/s10801-010-0270-4

Abstract

In this paper, we generalize the construction of strongly regular graphs in Tan et al. (J. Comb. Theory, Ser. A 117:668-682, 2010) from ternary bent functions to p-ary bent functions, where p is an odd prime. We obtain strongly regular graphs with three types of parameters. Using certain non-quadratic p-ary bent functions, our constructions can give rise to new strongly regular graphs for small parameters.

Pages: 251–266

Keywords: keywords strongly regular graphs; partial difference sets; $p$-ary bent functions; $(Weakly)$ regular bent functions

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