Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-27T08:53:25.585Z Has data issue: false hasContentIssue false
  • English
  • Français

Integer difference covers which are not k-sum covers, for k = 6, 7

Published online by Cambridge University Press:  24 October 2008

Dennis Connolly
Dennis Connolly
Affiliation:
University of Lethbridge, Alberta, Canada
Get access Rights & Permissions [Opens in a new window]

Extract

Constructions are given of sets F(k), (k = 6, 7) of residues mod q(k), (for a suitably chosen integer q(k)) such that F(k) – F(k) contains all residues, while

has a gap of an assigned number of consecutive residues.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 1 , July 1973 , pp. 17 - 28
Copyright
Copyright © Cambridge Philosophical Society 1973

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Jackson, T. H., Williamson, J. H. and Woodall, D. R.Difference-covers that are not k-sum covers I. Proc. Cambridge Philos. Soc. 72 (1972), 425.Google Scholar
(2)Jackson, T. H. Asymmetric sets of residues, to appear. Mathematika.Google Scholar
(3)Williamson, J. H.Raikov systems. Symposia on theoretical physics and mathematics, vol. 8, pp. 173–183 (New York, 1968).Google Scholar
(4)Connolly, D. M. and Williamson, J. H.Difference-covers that are not k-sum-covers II, to appear.Google Scholar