An exponent bound on skew Hadamard abelian difference sets
Designs, Codes and Cryptography
A course in computational algebraic number theory
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Some New Cyclotomic Strongly Regular Graphs
Journal of Algebraic Combinatorics: An International Journal
A family of skew Hadamard difference sets
Journal of Combinatorial Theory Series A
Skew Hadamard difference sets from the Ree--Tits slice symplectic spreads in PG(3,32h+1)
Journal of Combinatorial Theory Series A
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
Pseudocyclic association schemes and strongly regular graphs
European Journal of Combinatorics
Non-abelian skew Hadamard difference sets fixed by a prescribed automorphism
Journal of Combinatorial Theory Series A
Finite Fields and Their Applications
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Finite Fields and Their Applications
Sequences and functions derived from projective planes and their difference sets
WAIFI'12 Proceedings of the 4th international conference on Arithmetic of Finite Fields
Cyclotomy, gauss sums, difference sets and strongly regular cayley graphs
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
European Journal of Combinatorics
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We revisit the old idea of constructing difference sets from cyclotomic classes. Two constructions of skew Hadamard difference sets are given in the additive groups of finite fields by using union of cyclotomic classes of F"q of order N=2p"1^m, where p"1 is a prime and m a positive integer. Our main tools are index 2 Gauss sums, instead of cyclotomic numbers.