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On Maximal Residue Difference Sets Modulo p

Published online by Cambridge University Press:  20 November 2018

J. Fabrykowski
J. Fabrykowski*
Affiliation:
Department of Mathematics and Astronomy University of Manitoba Winnipeg, Manitoba R3T 2N2
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Abstract

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A residue difference set modulo p is a set A = {a1,a2,...,ak} of integers 1 ≤ ai ≤ p — 1 such that for all i and j with i ≠ j, where is the Legendre symbol. We give a lower and an upper bound for mp—the P maximal cardinality of such set A in the case of p ≡ 1 (mod 4).

Keywords

11A0711B75
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 2 , 01 June 1993 , pp. 144 - 146
Copyright
Copyright © Canadian Mathematical Society 1993

References

1. Buell, D. A. and Williams, K. S., Maximal Residue Difference Sets Modulo p, Proc. Amer. Math. Soc. 69(1978), 205–209.Google Scholar