Yamada, M., Supplementary difference sets and Jacobi sums, Discrete Mathematics 103 (1992) 75-90. Let 4 = ef + 1 be an odd prime power and C,, 1 =Z i =S e -1, be cyclotomic classes of the eth power residues in F = GF(q). Let Ai with #A, = ujr 1 =~i Sn, be non-empty subsets of Q={O,l,..., e-l}andletD
Sets characterized by missing sums and differences
β Scribed by Yufei Zhao
- Book ID
- 113731037
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 313 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0022-314X
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We study quadratic residue difference sets, GMW difference sets, and difference sets arising from monomial hyperovals, all of which are (2 d &1, 2 d&1 &1, 2 d&2 &1) cyclic difference sets in the multiplicative group of the finite field F 2 d of 2 d elements, with d 2. We show that, except for a few
Throughout this paper, we use the following notations: we denote by Z (resp. N) the set of integers (resp. positive integers) and we write l 1 =log N, l 2 =log log N, l 3 =log log log N and e(:)=e 2i?: . If f(n)=O(g(n)), then we write f (n)< <g(n). We denote by |(n) the number of distinct prime fact