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The spectrum of cyclic (3, λ)-GDD of type g^v

The spectrum of cyclic (3, λ)-GDD of type g^v
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摘要 In this paper, it is shown that the necessary conditions for the existence of a ( gv, {g, 3 α }, 3, λ)-DF in Z gv for α∈ {0, 1, 2} are also sufficient with two exceptions of (v, g, λ, α) = (9, 1, 1, 1), (9, 1, 2, 2). Finally, the existence spectrum of a cyclic (3, λ)-GDD of type g v is determined. In this paper, it is shown that the necessary conditions for the existence of a ( gv, {g, 3 α }, 3, λ)-DF in Z gv for α∈ {0, 1, 2} are also sufficient with two exceptions of (v, g, λ, α) = (9, 1, 1, 1), (9, 1, 2, 2). Finally, the existence spectrum of a cyclic (3, λ)-GDD of type g v is determined.
出处 《Science China Mathematics》 SCIE 2010年第2期431-446,共16页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No.10771013 and 10831002)
关键词 DIFFERENCE FAMILY CYCLIC GDD SHORT ORBIT difference family cyclic GDD short orbit
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参考文献5

  • 1WANG XiaoMiao & CHANG YanXun Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, China.The spectrum of (gv, g, 3, λ)-DF in Z_(gv)[J].Science China Mathematics,2009,52(5):1004-1016. 被引量:2
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二级参考文献11

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