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Reducible sums and splittable sets

✍ Scribed by Paul Erdős; Abraham Zaks

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
312 KB
Volume
36
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

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✍ Mieko Yamada 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 752 KB

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

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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

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✍ D. Hanson 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 451 KB

in this note we obtain new tower bounds for the Ramsey numbers R(5,S) and R(5,6). The methrld is based on computational results of partitioning the integers into sum-free sets. WC obtain R(S, 5) > 42 and R(5,6) 2 53.