| 域F_2上线性码的广义Rosenbloom-Tsfasman重量 |
| |
| 引用本文： | 许和乾,朱士信.域F_2上线性码的广义Rosenbloom-Tsfasman重量[J].合肥工业大学学报(自然科学版),2009,32(2). |
| |
| 作者姓名： | 许和乾 朱士信 |
| |
| 作者单位： | 1. 合肥师范学院,数学系,安徽,合肥,230601;合肥工业大学,数学系,安徽,合肥,230009
2. 合肥工业大学,数学系,安徽,合肥,230009 |
| |
| 基金项目： | 国家自然科学基金，教育部科学技术研究重点项目 |
| |
| 摘 要： | 受广义Hamming重量的启发,文章将极小RT重量看成是一个线性码的一维子码的一个极小性质,获得了一个高维RT重量的概念,它是广义Hamming重量的推广;得到了该广义重量的基本性质以及一些常见类型线性码关于该重量的值.
|
| 关 键 词： | 线性码 Rosenbloom-Tsfasman重量 广义Rosenbloom-Tsfasman重量 |
Generalized Rosenbloom-Tsfasman weights for linear codes over F_2 |
| |
| XU He-qian,ZHU Shi-xin.Generalized Rosenbloom-Tsfasman weights for linear codes over F_2[J].Journal of Hefei University of Technology(Natural Science),2009,32(2). |
| |
| Authors: | XU He-qian ZHU Shi-xin |
| |
| Institution: | 1.Dept.of Mathematics;Hefei Teachers College;Hefei 230601;China;2.Dept.of Mathematics;Hefei University of Technology;Hefei 230009;China |
| |
| Abstract: | In light of the generalized Hamming weight,the minimum RT weight is viewed as a certain minimum property of one-dimensional subcodes,and a generalized notion of higher-dimensional RT weights is obtained,which is a generalization of generalized Hamming weights.Basic properties of the generalized weights are derived,and the values of these weights for well-known classes of codes are determined too. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
