簡易檢索 / 詳目顯示
| 研究生： |
林俊佑 Lin, Chun-You |
|---|---|
| 論文名稱： |
On Some Bounds of Minimum Distances of Cyclic Codes Over Finite Fields On Some Bounds of Minimum Distances of Cyclic Codes Over Finite Fields |
| 指導教授： | 紀文鎮 |
| 學位類別： |
碩士 Master |
| 系所名稱： |
數學系 Department of Mathematics |
| 論文出版年： | 2016 |
| 畢業學年度： | 104 |
| 語文別： | 英文 |
| 論文頁數： | 18 |
| 中文關鍵詞： | 無中文關鍵詞 |
| 英文關鍵詞： | Cyclic Code, Bound on the Minimum Distance |
| DOI URL： | https://doi.org/10.6345/NTNU202204559 |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：142 下載：13 |
| 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 |
無中文摘要
After reviewed the theory of cyclic codes over finite fields,
we study some results on lower bounds of minimum distance of cyclic codes.
We also give several examples to illustrate these lower bounds.
[1] San Ling, Chaoping Xing, Codeing Theory : A First Course, Cambridge Uni-
versity, (2004)
[2] J. H. van Lint and R. M. Wilson, On The Minimum Distance of Cyclic Codes,
IEEE Trans. Inf. Theory, Vol:32, No:1, pp. 23-40, 1986
[3] J. H. van Lint, Introduction to Coding Theory, New York:Springer-Verlag,
(1973)
[4] C. Roos, A generalization of the BCH bound for cyclic codes, including the
Hartmsnn-Tzeng bound, J. Comb. Theory, Ser A, Vol:33. pp.229-232, 1982
[5] C. Roos, A new lower bound for the minimum distance of a cyclic clde, IEEE
Trans. Inf. Theory, Vol. IT-29, No:3, pp. 330-332, 1983
[6] F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes,
Amsterdam: North-Holland, (1977)
[7] W. W. Peterson and E. J. Weldon, Jr., Error-Correcting Codes, 2nd ed. Cam-
bridge, MA:MIT Press, (1972)
