## Abstract We establish some properties of mixed difference families. We obtain some criteria for the existence of such families and a special kind of multipliers. Several methods are presented for the construction of difference families by using cyclotomy and genetic algorithms. Β© 2004 Wiley Peri
Recursive construction of a class of cyclic difference families
β Scribed by B. T. Rumov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1995
- Tongue
- English
- Weight
- 400 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
## Abstract External difference families (EDFs) are a type of new combinatorial designs originated from cryptography. Some results had been obtained by Chang and Ding, the connection between EDFs and disjoint difference families (DDFs) was also established. In this paper, further cyclotomic constru
We construct, in a very simple way, two new classes of elementary abelian (q 2 , k, k&1) and (q 2 , k+1, k+1) difference families with k a multiple of q&1. The first of these classes contains, as special cases, the supplementary difference systems constructed by A.