Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655637 | Journal of Combinatorial Theory, Series A | 2012 | 12 Pages |
Abstract
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 Fq of order , where p1 is a prime and m a positive integer. Our main tools are index 2 Gauss sums, instead of cyclotomic numbers.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics