In this paper we study finite abelian groups admitting a d~fference set with multiplier -1. In these groups we have that each integer, which is relatively prime to the group order, is a multiplier (see and Section I of this paper). About the arithmetical structure, there is an interesting result o
McFarland's conjecture on abelian difference sets with multiplier −1
✍ Scribed by S. L. Ma
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 356 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0925-1022
No coin nor oath required. For personal study only.
✦ Synopsis
This paper is a continuation of the work by R.L. McFarland and S.L. Ma on abelian difference sets with -1 as a multiplier. More nonexistence results are obtained as a consequence of a theorem on the existence of sub-difference sets. In particular, nonexistence is shown fi3r the two cases left undecided by McFarland and Ma.
📜 SIMILAR VOLUMES
## Abstract We constrain the structure of difference sets with classical parameters in abelian groups. These include the classical Singer 7 and Gordon et al. 4 constructions and also more recent constructions due to Helleseth et al. 5, 6 arising from the study of sequences with ideal autocorrelatio