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New necessary conditions for abelian hadamard difference sets

✍ Scribed by D.K. Ray-Chaudhuri; Qing Xiang

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 494 KB
Volume: 62
Category: Article
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(96)00170-x

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✦ Synopsis

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 connection between certain reversible Hadamard difference sets and projective threeweight codes which was claimed in .

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