## 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
Partial difference sets inp-groups
β Scribed by James A. Davis
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 483 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
~ study the existence of nontrivial (2m, k, X )-difference sets in dihedral groups. Some nonexistence results are proved. In particular, we show that n = k -3, is odd and Β’(n)/n < 112. Finally, a computer search shows that, except 5 undecided cases, no nontrivial difference set exists in dihedral gr
Let G be a finite group of order v. A k-element subset D of G is called a (v, k, I, p)-partial difference set in G if the expressions gh-', for g and h in D with g # h, represent each nonidentity element contained in D exactly i times and represent each nonidentity element not contained in D exactly
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