Maximal residue difference sets modulo p

Author(s)

Duncan A. Buell, University of South Carolina - ColumbiaFollow
Kenneth S. Williams

Document Type

Article

Abstract

Let p ≡ 1 (mod 4) be a prime. A residue difference set modulo p is a set S = {a_i} of integers a_i such that (a_i/p) = +1 and ((a_i - a_j)/p) = +1 for all i and j with i ≠ j, where (n/p) is the Legendre symbol modulo p. Let m_p be the cardinality of a maximal such set S. The authors estimate the size of m_p.

Publication Info

Published in Proceedings of the American Mathematical Society, Volume 69, Issue 2, 1978, pages 205-209.

Rights

Buell, D.A. and Williams, K.S. (1978). Maximal residue difference sets modulo p. Proceedings of the American Mathematical Society, 69(2), 205-209.

Copyright © 1978 American Mathematical Society.