Constructions of Partial Difference Sets and Relative Difference Sets on p-Groups
β Scribed by Leung, K. H.; Ma, S. L.
- Book ID
- 120092800
- Publisher
- Oxford University Press
- Year
- 1990
- Tongue
- English
- Weight
- 139 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0024-6093
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π SIMILAR VOLUMES
In a previous paper, [Des., Codes and Cryptogr. 8 (1996), 215 227]; we used Galois rings to construct partial difference sets, relative difference sets and a difference set. In the present paper, we first generalize and improve the construction of partial difference sets in [Des., Codes and Cryptogr
gave two new constructions for semi-regular relative di!erence sets (RDSs). They asked if the two constructions could be uni"ed. In this paper, we show that the two constructions are closely related. In fact, the second construction should be viewed as an extension of the "rst. Furthermore, we gener
## Abstract Latin square type partial difference sets (PDS) are known to exist in __R__ Γ __R__ for various abelian __p__βgroups __R__ and in β€^__t__^. We construct a family of Latin square type PDS in β€^__t__^ Γ β€^2__nt__^~__p__~ using finite commutative chain rings. When __t__ is odd, the ambient