## 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
Existence question for difference families and construction of some new families
✍ Scribed by Luis Martínez; Dragomir Z̆. Ðoković; Antonio Vera-López
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 143 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
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. © 2004 Wiley Periodicals, Inc. J Combin Designs 12: 256–270, 2004.
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