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 Ž than or equal to 2 . In a previous work R.
New difference sets in nonabelian groups of order 100
✍ Scribed by Anka Golemac; Tanja Vučičić
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 126 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1063-8539
- DOI
- 10.1002/jcd.1021
No coin nor oath required. For personal study only.
✦ Synopsis
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 for the construction. © 2001 John Wiley & Sons, Inc. J Combin Designs 9: 424–434, 2001
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