For a prime power q = 1 (mod k(k-1)) does there exist a (q, k, 11 difference family in GF(q)? The answer to this question is affirmative for k=3 and also for k>3 provided that q is sufficiently large (Wilson's asymptotic existence theoremt but very little is known for k > 3 and q not large enough.
Constructions of (q, K, λ, t, Q) almost difference families
✍ Scribed by Qiu, Lu; Wu, Dianhua
- Book ID
- 121535952
- Publisher
- Higher Education Press and Springer
- Year
- 2014
- Tongue
- English
- Weight
- 133 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1673-3452
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📜 SIMILAR VOLUMES
The existence of a (q, k, 1) difference family in GF(q) has been completely solved for k = 3. For k = 4, 5 partial results have been given by Bose, Wilson, and Buratti. In this article, we continue the investigation and show that the necessary condition for the existence of a (q, k, 1) difference fa
## Abstract The existence of a (__q,k__, 1) difference family in __GF__(__q__) has been completely solved for __k__ = 3,4,5,6. For __k__ = 7 only partial results have been given. In this article, we continue the investigation and use Weil's theorem on character sums to show that the necessary condi