| dc.contributor.advisor | 陳永秋 | zh_TW |
| dc.contributor.advisor | Tan, Eng Tjieo | en_US |
| dc.contributor.author (Authors) | 楊茂昌 | zh_TW |
| dc.contributor.author (Authors) | Yang, Mao Chang | en_US |
| dc.creator (作者) | 楊茂昌 | zh_TW |
| dc.creator (作者) | Yang, Mao Chang | en_US |
| dc.date (日期) | 1994 | en_US |
| dc.date.accessioned | 29-Apr-2016 16:32:23 (UTC+8) | - |
| dc.date.available | 29-Apr-2016 16:32:23 (UTC+8) | - |
| dc.date.issued (上傳時間) | 29-Apr-2016 16:32:23 (UTC+8) | - |
| dc.identifier (Other Identifiers) | B2002003905 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/88737 | - |
| 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 (描述) | 81155008 | zh_TW |
| dc.description.abstract (摘要) | 本文希望藉著K.T Arasu, D.Jungnickel, A.Pott推廣Wilbrink定理的方法去尋找Wilbrink等式的推廣式在p<sup>k</sup>∥n,k≧4的推廣式和其應用。 | zh_TW |
| dc.description.abstract (摘要) | In this thesis we formulate and provide rigorous proofs of Wilbrink`s theorem and it`s variations due to Arasu, A.Pott and D.Jungnickel. some questions on further generalizations of Wilbrink`s theorem are discussed; known generalization are study in A.Pott`s dissertation. | en_US |
| dc.description.tableofcontents | 謝詞 Abstract 中文簡介-----1 Contents-----2 1 Introduction-----3 2 Preliminaries on algebraic design theory-----6 2.1 The theory of discrete Fourier transformation (DFT)-----7 2.2 Codes defined by symmetric design-----11 2.3 Multiplier of difference sets-----15 3 Proofs of Wilbrink`s theorem-----17 3.1 Wilbrink`s original proof-----18 3.2 Arasu`s proof for Theorem 2-----19 3.3 Jungnickel`s proof for Theorem 3-----20 3.4 Pott`s proof for Theorem 3-----22 4 Conjectures related to Wilbrink`s theorem-----26 5 Pott`s generalizations of Wilbrink`s theorem-----29 5.1 Pott`s p-adic approach to theory of DS-----30 5.2 Pott`s proof for generalizations of Wilbrink`s Theorem-----32 6 Discussion-----37 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002003905 | en_US |
| dc.subject (關鍵詞) | 可換差集 | zh_TW |
| dc.subject (關鍵詞) | 乘數 | zh_TW |
| dc.subject (關鍵詞) | 離散型富利葉轉換 | zh_TW |
| dc.subject (關鍵詞) | p-進位特徵函數 | zh_TW |
| dc.subject (關鍵詞) | 乘數猜測 | zh_TW |
| dc.subject (關鍵詞) | Hall 猜測 | zh_TW |
| dc.subject (關鍵詞) | Abelian difference sets | en_US |
| dc.subject (關鍵詞) | multipliers | en_US |
| dc.subject (關鍵詞) | Discrete Fourier Transform (DFT) | en_US |
| dc.subject (關鍵詞) | p-adic characters | en_US |
| dc.subject (關鍵詞) | multiplier`s conjecture | en_US |
| dc.subject (關鍵詞) | Hall`s conjecture | en_US |
| dc.title (題名) | Wilbrink定理的探討 | zh_TW |
| dc.title (題名) | Variations on Wilbrink`s Theorem | en_US |
| dc.type (資料類型) | thesis | en_US |
