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New necessary conditions on the existence of abelian difference sets

โœ Scribed by Alexander Pott

Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
220 KB
Volume
12
Category
Article
ISSN
0209-9683

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In this paper, we obtain several nonexistence results for abelian Hadamard difference sets. In particular, we prove that there are no Hadamard difference sets in abelian groups G = Z2 x Z2 x P, where IP] = p2~, c~ is odd and p is a prime congruent to 1 (mod4). Also, we give a detailed proof for a co

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In this paper, we study some necessary conditions on the parameters of nontrivial regular (v, k, 2,/O-partial difference sets in abelian groups. In particular, we settle some undecided cases in Ma's table [Designs, Codes Cryptography, 4 (1994)]. Also, the case when 2 ~< I is studied. Nonexistence r