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Hadamard difference sets in groups of order 64

โœ Scribed by David Gluck


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
168 KB
Volume
51
Category
Article
ISSN
0097-3165

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Nontrivial difference sets in groups of order a power of 2 are part of the family of difference sets called Hadamard difference sets. In the abelian case, a group of order 2 2 tq2 has a difference set if and only if the exponent of the group is less tq 2 ลฝ than or equal to 2 . In a previous work R.

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## Abstract In two groups of order 100 new difference sets are constructed. The existence of a difference set in one of them has not been known. The correspondence between a (100, 45, 20) symmetric design having regular automorphism group and a difference set with the same parameters has been used