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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/90184
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/90184

    Title: LANDER表中之缺項
    Missing entries in Lander`s Table
    Authors: 姚焱堯
    Contributors: 陳永秋
    Date: 1990
    Issue Date: 2016-05-03 14:17:28 (UTC+8)
    Abstract: 在一般的交換群G 中,是否存在參數為(v, k,λ)的差集D. 是組合設計理論中廣被探討的一項重要課題。對於差集D存在的必要條件,迄今已有眾多的討論,舉其要者有:
    Lander`s table contains purportedly 25 missing entries. However, 4 more entries should be considered open. We update Lander`s table which covers all the 29 missing
    Reference: [Arl] K. T. Arasu, (81,16,3) abelian difference sets do not exist, J. of Combinatorial Theory, Series A 43, 350-353, 1986.
    [Ar2] K. T. Arasu, More missing entries in Lander`s table could be filled, Arch. Math., Vol. 51, 188-192, 1988.
    [ADJP] K. T. Arasu, J. Davis, D. Jungnickel and A. Pott, A note on intersection numbers of difference sets, European Journal of Combinatorics, Vol.11, 95-98, 1990.
    [AR] K. T. Arasu and D. K. Ray-Chaudhuri, Multiplier theorem for a difference list, Ars Combinatoria 22, 119-137, 1986.
    [AS] K. T. Arasu and D. L. Stewart, Certain implications of the multiplier conjecture, JCMCC 3, 207-211, 1988.
    [BJL] T. Beth, D. Jungnickel and H. Lenz, Design Theory, Cambridge University Press, 1986.
    [Boz] Z. Bozikov, Abelian Singer groups of certain symmetric block designs, Radovi Math. 1, 247-253, 1985.
    [Hal] M. Hall, Combinatorial Theory, 2nd edition, John Wiley & Sons,1986.
    [Jun] D. Jungnickel, Design Theory: An update, Ars Combinatoria 28,129-199, 1989.
    [Lan] E. S. Lander, Symmetric Designs: An algebraic approach, Cambridge University Press, 1983.
    [Mc] R. L. McFarland, Difference sets in abelian groups of order 4p2,Mitteilungen des Maihemaiischen Seminars Giessen, 1989.
    [MR] R. L. McFarland and B. F. Rice, Translates and multipliers of abelian difference sets, Proc. AMS. , Vo1.68, No.3, 375-379, 1978.
    [Pot] A. Pott, Applications of the DFT to abelian difference sets, Arch. Math,Vol.51, 283-288, 1988.
    Description: 碩士
    Source URI: http://thesis.lib.nccu.edu.tw/record/#B2002005449
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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