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Maximal Residue Difference Sets Modulo p

1978
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Proceedings of the American Mathematical Society
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Letp = 1 (mod 4) be a prime. A residue difference set modulo/) a¡ "¡ -a¡ is a set 5 = {a,} of integers a, such that ( -) = +1 and (-) = + 1 for all i and y with / # j, where ( -) is the Legendre symbol modulo p. Let rrij, be the cardinality of a maximal such set S. The authors estimate the size of /Up.

doi:10.2307/2042597
fatcat:apkbeeb6mjcclalab5qugbgjhq