| 最小距离固定且优于Gilbert—Varshamov界的码 |
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| 引用本文： | 吴新文.最小距离固定且优于Gilbert—Varshamov界的码[J].数学进展,2001,30(6):495-509. |
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| 作者姓名： | 吴新文 |
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| 作者单位： | 中国科学院数学研究所,数学与系统科学研究院, |
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| 基金项目： | This work was supported
in part by the National Natural Science Foundation of China(No. 19701033). |
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| 摘 要： | 本文构造了一类GF(q)上的码,其中GF(q)为q个元素的有限域.这些码的冗余取到渐进界r(q,n,7)
4 m,此界优于Gilbert-Varshamov存在界r(q,n,7) 5m.
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| 关 键 词： | 码 冗余 Hamming界 Gilbert－Varshamov界 渐近界 编码理论 |
| 修稿时间： | 1999年4月15日 |
The Codes With Fixed
Minimum Distance and Better Than the Gilbert-Varshamov Bound |
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| Abstract.The Codes With Fixed
Minimum Distance and Better Than the Gilbert-Varshamov Bound[J].Advances in Mathematics,2001,30(6):495-509. |
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| Authors: | Abstract |
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| Abstract: | A class of codes over GF(q) is constructed, where q is a prime power. The codes achieve an asymptotic redundancy bound r(q, n, 7) m, which is better than the Gilbert-Varshamov existence bound r(q, n, 7) 5m. |
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| Keywords: | code redundancy Hamming bound Gilbert-Varshamov bound |
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