簡易檢索 / 詳目顯示
| 研究生： |
郭威良 Kuo, Wei-Liang |
|---|---|
| 論文名稱： |
佈於整數模三十二的二次剩餘碼 Quadratic Residue Codes Over Z32 |
| 指導教授： |
俞勇
Yu, Yung |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年： | 2003 |
| 畢業學年度： | 91 |
| 語文別： | 英文 |
| 論文頁數： | 81 |
| 中文關鍵詞： | 二次的 、剩餘 |
| 外文關鍵詞： | Idempotent, Residue, Quadratic |
| 相關次數： | 點閱：143 下載：1 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
none
Abstract-Quadratic residue codes over are -cyclic codes. We define such codes in terms of their idempotents and show that these codes also have many good properties which are analogous in many respects to properties of quadratic residue codes over a field.
[Di] L.E.Dickson, Linear Groups, Drover Publications, Inc. NY, (1958).
[Ka-Lp] P.Kanwar and S.Lopez-Permouth, Cyclic codes over the integers modulo , Finite Fields and Their Applications, 3, (1997), 334-352.
[Le-Ma-Pl] J.S.Leon, J.M.Masley, and V.pless, Duadoc codes, IEEE Trans. Inform. Theory, Vol.30, pp.709-714, September (1994).
[Ma-Sl] F.J.MacWilliams and N.J.A. Sloane, The Theory of Error-Correcting Codes, North Holland, Amsterdam, (1978).
[Pl] V.Pless, Introduction to the Theory of Error-Correcting Codes, Second Edition, Wiley Interscience, (1989).
[Pl-Qi] V.Pless and Z.Qian, Cyclic Codes and Quadratic Residue Codes over , IEEE Transactions on Information Theory, Vol.42, No.5, September, (1996), 1594-1600.
[Pe] O.Perron, Bemerkungen uber die Verteilung der Quadratischen Reste, Math. Zeit., 56, (1952), 122-130.
[Ch-Yu-Yau] Mei Hui Chiu, Yung Yu, Stephen S.-T. Yau, -cyclic codes and Quadratic Residue Codes, Advances in Applied Mathematics 25, (2000), 12-33.
許琮琳, 佈於整數模拾陸的二次剩餘碼, 國立成功大學應用數學研究所碩士論文, 中華民國八十八年六月.
校內：2004-06-30公開校外：2004-06-30公開