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https://ah.lib.nccu.edu.tw/handle/140.119/90184| 題名: | LANDER表中之缺項 Missing entries in Lander`s Table |
作者: | 姚焱堯 | 貢獻者: | 陳永秋 姚焱堯 |
日期: | 1990 | 上傳時間: | 3-May-2016 | 摘要: | 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 |
參考文獻: | [Arl] K. T. Arasu, (81,16,3) abelian difference sets do not exist, J. of Combinatorial Theory, Series A 43, 350-353, 1986.\r\n[Ar2] K. T. Arasu, More missing entries in Lander`s table could be filled, Arch. Math., Vol. 51, 188-192, 1988.\r\n[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.\r\n[AR] K. T. Arasu and D. K. Ray-Chaudhuri, Multiplier theorem for a difference list, Ars Combinatoria 22, 119-137, 1986.\r\n[AS] K. T. Arasu and D. L. Stewart, Certain implications of the multiplier conjecture, JCMCC 3, 207-211, 1988.\r\n[BJL] T. Beth, D. Jungnickel and H. Lenz, Design Theory, Cambridge University Press, 1986.\r\n[Boz] Z. Bozikov, Abelian Singer groups of certain symmetric block designs, Radovi Math. 1, 247-253, 1985.\r\n[Hal] M. Hall, Combinatorial Theory, 2nd edition, John Wiley & Sons,1986.\r\n[Jun] D. Jungnickel, Design Theory: An update, Ars Combinatoria 28,129-199, 1989.\r\n[Lan] E. S. Lander, Symmetric Designs: An algebraic approach, Cambridge University Press, 1983. \r\n[Mc] R. L. McFarland, Difference sets in abelian groups of order 4p2,Mitteilungen des Maihemaiischen Seminars Giessen, 1989.\r\n[MR] R. L. McFarland and B. F. Rice, Translates and multipliers of abelian difference sets, Proc. AMS. , Vo1.68, No.3, 375-379, 1978.\r\n[Pot] A. Pott, Applications of the DFT to abelian difference sets, Arch. Math,Vol.51, 283-288, 1988. | 描述: | 碩士 國立政治大學 應用數學系 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#B2002005449 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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