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A New Construction of Central Relative (pa,pa,pa, 1)-Difference Sets

✍ Scribed by K. J. Horadam; P. Udaya


Book ID
110392335
Publisher
Springer
Year
2002
Tongue
English
Weight
132 KB
Volume
27
Category
Article
ISSN
0925-1022

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Relative (pa, pb, pa, paβˆ’b-Difference Se
✍ Siu Lun Ma; Bernhard Schmidt πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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