Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/90184| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 陳永秋 | zh_TW |
| dc.contributor.author | 姚焱堯 | zh_TW |
| dc.creator | 姚焱堯 | zh_TW |
| dc.date | 1990 | en_US |
| dc.date | 1989 | en_US |
| dc.date.accessioned | 2016-05-03T06:17:28Z | - |
| dc.date.available | 2016-05-03T06:17:28Z | - |
| dc.date.issued | 2016-05-03T06:17:28Z | - |
| dc.identifier | B2002005449 | en_US |
| dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/90184 | - |
| dc.description | 碩士 | zh_TW |
| dc.description | 國立政治大學 | zh_TW |
| dc.description | 應用數學系 | zh_TW |
| dc.description.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: | zh_TW |
| dc.description.abstract | 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\r\n1. Some preliminary results on abelian difference sets .............................3\r\n2. Pott`s proof of Hall`s multiplier theorem.............................16\r\n3. Proofs of 12 non-existence entries.............................21\r\n4. Discussions and further comments.............................45\r\nREFERENCES.............................48 | zh_TW |
| dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#B2002005449 | en_US |
| dc.title | LANDER表中之缺項 | zh_TW |
| dc.title | Missing entries in Lander`s Table | en_US |
| dc.type | thesis | en_US |
| dc.relation.reference | [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. | zh_TW |
| item.fulltext | With Fulltext | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
| item.grantfulltext | open | - |
| item.openairetype | thesis | - |
| item.cerifentitytype | Publications | - |
| Appears in Collections: | 學位論文 | |
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| index.html | 115 B | HTML2 | View/Open |
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