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Note on difference-covers that are not k-sum-covers

Part of: Designs and configurations

Published online by Cambridge University Press:  26 February 2010

T. H. Jackson  and
F. Rehman
T. H. Jackson
Affiliation:
Department of Mathematics, University of York, York YO1 5DD.
F. Rehman
Affiliation:
Department of Mathematics, University of York, York YO1 5DD.
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Extract

For some integer modulus q let F be a subset of Z(q), the additive group of residues modulo q. As in «1» we shall write

and

MSC classification

Secondary: 05B10: Difference sets (number-theoretic, group-theoretic, etc.)
Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 107 - 109
Copyright
Copyright © University College London 1974

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References

1.Jackson, T. H., Williamson, J. H. and Woodall, D. R.. “Difference-covers that are not k-sum covers. I”, Proc. Camb. Phil. Soc, 72 (1972), 425–438.CrossRefGoogle ScholarPubMed
2.Jackson, T. H.. “Asymmetric sets of residues”, Mathematika, 19 (1972), 191–199.CrossRefGoogle Scholar
3.Connolly, D.. “Integer difference covers which are not k-sum covers, for k = 6, 7”, Proc. Camb. Phil. Soc, 74 (1973), 17–28.CrossRefGoogle Scholar
4.Haight, J. A.. “Difference covers which have small k-sums for any k”, Mathematika, 20 (1973), 109–118.CrossRefGoogle Scholar