English

Skew Hadamard difference sets from cyclotomic strongly regular graphs

Combinatorics 2012-08-29 v3

Abstract

We find new constructions of infinite families of skew Hadamard difference sets in elementary abelian groups under the assumption of the existence of cyclotomic strongly regular graphs. Our construction is based on choosing cyclotomic classes in finite fields.

Keywords

Cite

@article{arxiv.1207.2197,
  title  = {Skew Hadamard difference sets from cyclotomic strongly regular graphs},
  author = {Koji Momihara},
  journal= {arXiv preprint arXiv:1207.2197},
  year   = {2012}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1101.2994 by other authors

R2 v1 2026-06-21T21:33:04.380Z