| 高维仿射码 |
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| 引用本文： | 刘秀峰,张爱丽.高维仿射码[J].西南交通大学学报,2005,40(2):179-183. |
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| 作者姓名： | 刘秀峰 张爱丽 |
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| 作者单位： | 西南交通大学理学院,四川,成都,610031 |
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| 摘 要： | 利用弱区组设计的方法，以Fp上的m维仿射几何G(m，P)的s维陪集为信息位，将每个元素对应的s维陪集族作为监督维线，构造了高维仿射码，并且分析了该码的码长、维数、极小码距和码率．高维仿射码是仿射流形码的推广。
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| 关 键 词： | 线性码 仿射几何码 信息元 陪集 高维 |
| 文章编号： | 0258-2724(2005)02-0179-05 |
High-Dimensional Affine Codes |
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| LIU Xiu-feng,ZHANG Ai-li.High-Dimensional Affine Codes[J].Journal of Southwest Jiaotong University,2005,40(2):179-183. |
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| Authors: | LIU Xiu-feng ZHANG Ai-li |
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| Abstract: | High-dimensional affine codes were constructed using weak block designs, where the s-dimensional coset of s-dimensional affine geometry G(m,p) over a finite field F_p was taken as an informational bit, and every s-dimensional coset family corresponding each element was regarded as a check line. The codes are the generalization of the affine manifold codes, and their lengths, dimensions, minimum distances and rates were analyzed. |
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| Keywords: | linear code affine geometric code information element coset high-dimension |
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