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The existence of balanced (υ, {3,6}, 1) difference families

✍ Scribed by DianHua Wu; MinQuan Cheng; ZhiLin Chen; HaiPeng Luo

Book ID: 107359697
Publisher: Science in China Press (SCP)
Year: 2010
Tongue: English
Weight: 183 KB
Volume: 53
Category: Article
ISSN: 1674-733X
DOI: 10.1007/s11432-010-4016-7

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## 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