Strongly Regular Graphs Constructed from $p$-ary Bent Functions
Combinatorics
2010-11-22 v1
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 -ary bent functions, where is an odd prime. We obtain strongly regular graphs with three types of parameters. Using certain non-quadratic -ary bent functions, our constructions can give rise to new strongly regular graphs for small parameters.
Cite
@article{arxiv.1011.4434,
title = {Strongly Regular Graphs Constructed from $p$-ary Bent Functions},
author = {Yeow Meng Chee and Yin Tan and Xian De Zhang},
journal= {arXiv preprint arXiv:1011.4434},
year = {2010}
}
Comments
to appear in Journal of Algebraic Combinatorics