Strongly Regular Graphs Constructed from $p$-ary Bent Functions

Yeow Meng Chee; Yin Tan; Xian De Zhang

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arXiv · 1011.4434

Strongly Regular Graphs Constructed from $p$-ary Bent Functions

Yeow Meng Chee·Yin Tan·Xian De Zhang

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Abstract

In this paper, we generalize the construction of strongly regular graphs in [Y. Tan et al., Strongly regular graphs associated with ternary bent functions, J. Combin.Theory Ser. A (2010), 117, 668-682] 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.

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Yeow Meng Chee, Yin Tan, Xian De Zhang. 2010-11-19. Strongly Regular Graphs Constructed from $p$-ary Bent Functions. https://arxiv.org/abs/1011.4434

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