| Constructions of （q,K, λ, t,Q） almost difference families |
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| 作者姓名： | Lu QIU Dianhua WU |
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| 作者单位： | Department of Mathematics, Guangxi Normal University, Guilin 541004, China |
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| 基金项目： | Acknowledgements The authors wish to thank the anonymous referees for their helpful comments and suggestions that much improved the quality of this paper. The work of Dianhua Wu was supported in part by the National Natural Science Foundation of China （No. 11271089）, the Guangxi Natural Science Foundation （No. 2012GXNSFAA053001）, the Foundation of Guangxi Education Department （No. 201202ZD012）, and the Guangxi ＇Ba Gui＇ Team for Research and Innovation. |
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| 摘 要： | The concept of a （q, k, λ, t） almost dltterence tamlly （ADF） nas oeen introduced and studied by C. Ding and J. Yin as a useful generalization of the concept of an almost difference set. In this paper, we consider, more generally, （q, K,λ, t, Q）-ADFs, where K = {k1, k2,.…, kr} is a set of positive integers and Q = （q1,q2,... ,qr） is a given block-size distribution sequence. A necessary condition for the existence of a （q, K, λ, t, Q）-ADF is given, and several infinite classes of （q, K, A, t, Q）-ADFs are constructed.
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| 关 键 词： | 家庭结构 分布序列 NAS ADF 正整数 |
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