Supplementary difference systems are a generalization of difference sets. We consider such generalizations of the residue difference sets. An infinite family of difference systems is obtained by forming the union of certain cosets of the e th powers in F \* q 2 for prime powers q=4m+3. Applications
Two New Classes of Difference Families
β Scribed by Marco Buratti
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 75 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0097-3165
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β¦ Synopsis
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.
π SIMILAR VOLUMES
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