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λ≤3时(q,3,λ)-差族的构造

Constructions of(q,3,λ)-DF with λ≤3
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摘要 给出了λ≤3时(q,3,λ)-差族存在的条件。利用一种特殊Langford序列中的完美Langford序列、带洞Langford序列的定义及其存在的充分必要条件完成了差族的构造。 The existence conditions of the (q,3,;λ)-difference family were given. A possible (q,3,λ)-difference family was constructed by the definitions and the necessary and sufficient conditions of several special Langford sequences, such as perfect Langford sequence, hooked Langford sequence.
作者 张晶
出处 《青岛科技大学学报(自然科学版)》 CAS 2009年第2期183-185,188,共4页 Journal of Qingdao University of Science and Technology:Natural Science Edition
基金 青岛科技大学创新基金资助课题(0022293)
关键词 差族 Langford序列 完美Langford序列 带洞Langford序列 difference family Langford sequence perfect Langford sequence hooked Langford sequence
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参考文献4

  • 1Colbourn C J,DInitz J H.Difference families CRC Handbook of Combinatorial Designs 7[M].Boca Raton:CRC Press,1996.
  • 2Charles J Colbourn,Alexander Rosa.Triple Systems[M].Oxford:Clarendon Press.1999.
  • 3Simpson J E.Langford sequence:perfect and hooked[J].Discrete Mathematics,1983(44):97-104.
  • 4Zhang J,Chang Y.The spectrum of cyclic BSEC with block size three[J].Discrete Math,2005,305:312-322.

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