✦ LIBER ✦
Relative (pa, pb, pa, pa−b-Difference Sets: A Unified Exponent Bound and a Local Ring Construction
✍ Scribed by Siu Lun Ma; Bernhard Schmidt
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 204 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1071-5797
No coin nor oath required. For personal study only.
✦ Synopsis
We show that for an odd prime p the exponent of an abelian group of order p?>@ containing a relative (p?, p@, p?, p?@)-di!erence set cannot exceed p W ? X >. Furthermore, we give a new local ring construction of relative (qS, q, qS, qS)-di!erence sets for prime powers q. Finally, we discuss an important open case concerning the existence of abelian relative (p?, p, p?, p?)-di!erence sets.