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On abelian difference sets

โœ Scribed by K. T. Arasu


Book ID
112495203
Publisher
Springer
Year
1987
Tongue
English
Weight
171 KB
Volume
48
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES


On reversible abelian Hadamard differenc
โœ Qing Xiang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

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.

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Gao, S. and W. Wei, On non-Abelian group difference sets, Discrete Mathematics 112 (1993) 93-102. This paper is motivated by Bruck's paper (1955) in which he proved that the existence of cyclic projective plane of order n E 1 (mod 3) implies that of a nonplanar difference set of the same order by p