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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


Constructions of (q, k, 1) difference fa
✍ Marco Buratti 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 300 KB

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.

Existence of (q, k, 1) difference famili
✍ K. Chen; L. Zhu 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 188 KB

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

Existence of (q, 7, 1) difference famili
✍ K. Chen; R. Wei; L. Zhu 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB

## 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