臺灣博碩士論文加值系統

1.建構17個對應於W1及19個對應於W3的新極端自對偶[66,33,12]碼。
2.建構27個對應於W1及64個對應於W2的新極端自對偶[68,34,12]碼。

1.We constructed 17 extremal self-dual [66,33,12] codes with weight enumerator W1(y) and 19 extremal self-dual [66,33,12] codes with weight enumerator W3(y).
2.We constructed 27 extremal self-dual [68,34,12] codes with weight enumerator W1(y) and 64 extremal self-dual [68,34,12] codes with weight enumerator W2(y).

誌 謝 ( Acknowledgment) …………………………… i
摘 要 ( Abstract ) ……………………………………ii
目 錄 ( Table of Contents )……………………… iii
第一章 緒 論 ( Introduction )…………………………………1
第二章 建 構 理 論 (Construction Methods)………………5
第2.1節 Kim[4] 的定理及更進一步的推論…………………………5
第2.2節 Harada[5] 的定理及更進一步的推論…………………… 8
第2.3節 另一極端自對偶碼的建構方法……………………………12
第三章 應 用 (Applications)………………………………… 13
第3.1節 從自對偶[2n,n,d-2]碼
建構自對偶[2n+1,n+2,d]碼的演算法……………………13
第3.2節 對應於W3(y)的新極端自對偶[66,33,12]碼…………… 14
第3.3節 對應於W1(y)的新極端自對偶[66,33,12]碼…………… 15
第3.4節 對應於W2(y)的新極端自對偶[68,34,12]碼…………… 15
第3.5節 對應於W1(y)的新極端自對偶[68,34,12]碼…………… 16
參 考 文 獻 ( References )…………………………………………17

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