Constructions of （q, K, λ, t, Q） almost difference families  

作　　者：Lu QIU Dianhua WU 

机构地区：[1]Department of Mathematics, Guangxi Normal University, Guilin 541004, China

出　　处：《Frontiers of Mathematics in China》2014年第2期377-386,共10页中国高等学校学术文摘·数学（英文）

基　　金：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.

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.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.

关 键 词：Almost difference family （ADF） cyclotomic class difference family 

分 类 号：TP333[自动化与计算机技术—计算机系统结构] C913.11[自动化与计算机技术—计算机科学与技术]