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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
1989上傳時間 3-May-2016 14:17:28 (UTC+8) 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. [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. 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 dc.contributor.advisor 陳永秋 zh_TW dc.contributor.author (Authors) 姚焱堯 zh_TW dc.creator (作者) 姚焱堯 zh_TW dc.date (日期) 1990 en_US dc.date (日期) 1989 en_US dc.date.accessioned 3-May-2016 14:17:28 (UTC+8) - dc.date.available 3-May-2016 14:17:28 (UTC+8) - dc.date.issued (上傳時間) 3-May-2016 14:17:28 (UTC+8) - dc.identifier (Other Identifiers) B2002005449 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/90184 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description.abstract (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: zh_TW dc.description.abstract (摘要) 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 en_US dc.description.tableofcontents 0. Introduction............................. 1 1. Some preliminary results on abelian difference sets .............................3 2. Pott`s proof of Hall`s multiplier theorem.............................16 3. Proofs of 12 non-existence entries.............................21 4. Discussions and further comments.............................45 REFERENCES.............................48 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002005449 en_US dc.title (題名) LANDER表中之缺項 zh_TW dc.title (題名) Missing entries in Lander`s Table en_US dc.type (資料類型) thesis en_US dc.relation.reference (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. [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. zh_TW
