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Multipliers of Difference Sets

Published online by Cambridge University Press:  20 November 2018

Morris Newman
Morris Newman*
Affiliation:
National Bureau of Standards and Rand Corporation
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Let λ, K, v be integers such that 0 < λ < k < v. Then the set of integers

is a difference set with parameters v, k, λ if each non-zero residue modulo v occurs precisely λ times and zero occurs precisely k times among the k2 numbers

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 121 - 124
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Bruck, R. H., Difference sets in a finite group, Trans. Amer. Math. Soc, 78 (1955), 464–481.Google Scholar
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3. Hall, M. Jr. and Ryser, H. J., Cyclic incidence matrices, Can. J. Math., 3 (1951), 495–502.Google Scholar