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- Publisher
- Springer Journals
- Copyright
- Copyright © 2008 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-006-6132-0
- Publisher site
- See Article on Publisher Site
Abstract
A (v, k, λ) difference family ((v, k, λ)-DF in short) over an abelian group G of order v, is a collection F = {B i |i ∈ I} of k-subsets of G, called base blocks, such that any nonzero element of G can be represented in precisely λ ways as a difference of two elements lying in some base blocks in F. A (v, k, λ)-DDF is a difference family with disjoint blocks. In this paper, by using Weil’s theorem on character sum estimates, it is proved that there exists a (p n, 4, 1)-DDF, where p = 1 (mod 12) is a prime number and n ≥ 1.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Oct 12, 2008