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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 regulargraphs with three types of parameters. Using certain non-quadratic $p$-ary bentfunctions, our constructions can give rise to new strongly regular graphs forsmall parameters.

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