Design theory
An exponent bound on skew Hadamard abelian difference sets
Designs, Codes and Cryptography
Finite fields
Skew-Hadamard Matrices and the Smith Normal Form
Designs, Codes and Cryptography
A family of skew Hadamard difference sets
Journal of Combinatorial Theory Series A
Recent progress in algebraic design theory
Finite Fields and Their Applications
A Proof of the Welch and Niho Conjectures on Cross-Correlations of Binary m-Sequences
Finite Fields and Their Applications
Pseudo-Paley graphs and skew Hadamard difference sets from presemifields
Designs, Codes and Cryptography
Some results on skew Hadamard difference sets
Designs, Codes and Cryptography
Special subsets of difference sets with particular emphasis on skew Hadamard difference sets
Designs, Codes and Cryptography
Proofs of two conjectures on ternary weakly regular bent functions
IEEE Transactions on Information Theory
Non-abelian skew Hadamard difference sets fixed by a prescribed automorphism
Journal of Combinatorial Theory Series A
Cyclotomic constructions of skew Hadamard difference sets
Journal of Combinatorial Theory Series A
Sequences and functions derived from projective planes and their difference sets
WAIFI'12 Proceedings of the 4th international conference on Arithmetic of Finite Fields
| Hi-index | 0.06 |
Using a class of permutation polynomials of F"3"^"2"^"h"^"+"^"1 obtained from the Ree-Tits slice symplectic spreads in PG(3,3^2^h^+^1), we construct a family of skew Hadamard difference sets in the additive group of F"3"^"2"^"h"^"+"^"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 h3. 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.