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On reversible abelian Hadamard difference sets

โœ Scribed by Qing Xiang


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
97 KB
Volume
73
Category
Article
ISSN
0378-3758

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โœฆ Synopsis


It is shown that there does not exist a reversible abelian Hadamard di erence set in Z 2 2 ร— Z 2 9 or Z 2 4 ร—Z 2 3 . This settles the last two open cases for the existence of reversible (4N 2 ; 2N 2 -N; N 2 -N )abelian Hadamard di erence sets with N ยก10.


๐Ÿ“œ SIMILAR VOLUMES


New necessary conditions for abelian had
โœ D.K. Ray-Chaudhuri; Qing Xiang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 494 KB

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