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On (pa, p, pa, pa−1)-relative difference sets

✍ Scribed by S. L. Ma; Bernhard Schmidt

Book ID
105175365
Publisher
Springer
Year
1995
Tongue
English
Weight
709 KB
Volume
6
Category
Article
ISSN
0925-1022

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Relative (pa, pb, pa, pa−b-Difference Se
Relative (pa, pb, pa, pa−b-Difference Sets: A Unified Exponent Bound and a Local Ring Construction
✍ Siu Lun Ma; Bernhard Schmidt 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 204 KB

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 imp