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Strongly Regular Graphs Constructed from p-ary Bent Functions

2010/11/19 by Yeow Meng Chee, Chee, Yeow Meng, Yin Tan +3
Computer Science · Mathematics · Medicine · #Cancer Mechanisms and Therapy #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1011.4434

openalex publication_date 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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