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Selected Works of Zeying Wang
Article
Skew Hadamard difference sets from the Ree–Tits slice symplectic spreads in PG(3,32h+1)
Journal of Combinatorial Theory, Series A (2007)
  • Cunsheng Ding, University of Delaware
  • Zeying Wang, Michigan Technological University
  • Qing Xiang, University of Delaware
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Abstract
Using a class of permutation polynomials of F32h+1 obtained from the Ree–Tits slice symplectic spreads in PG(3,32h+1), we construct a family of skew Hadamard difference sets in the additive group of F32h+1. With the help of a computer, we show that these skew Hadamard difference sets are new when h=2 and h=3. We conjecture that they are always new when h>3. Furthermore, we present a variation of the classical construction of the twin prime power difference sets, and show that inequivalent skew Hadamard difference sets lead to inequivalent difference sets with twin prime power parameters.
Keywords
  • Difference set,
  • Gauss sum,
  • Permutation polynomial,
  • Ree–Tits slice spread,
  • Skew Hadamard difference set,
  • Symplectic spread,
  • Twin prime power difference set
Disciplines
Publication Date
July, 2007
DOI
10.1016/j.jcta.2006.09.008
Publisher Statement
© 2006 Elsevier Inc. All rights reserved. Publisher's version of record: 10.1016/j.jcta.2006.09.008




Citation Information
Cunsheng Ding, Zeying Wang and Qing Xiang. "Skew Hadamard difference sets from the Ree–Tits slice symplectic spreads in PG(3,32h+1)" Journal of Combinatorial Theory, Series A Vol. 114 Iss. 5 (2007) p. 867 - 887 ISSN: 0097-3165
Available at: http://works.bepress.com/zeying-wang/5/