左怀青,张平,罗雪.关于两个特殊环曲面码的参数[J].数学年刊A辑,2010,31(5):517~524 |
关于两个特殊环曲面码的参数 |
On the Parameters of Two Special Toric Surface Codes |
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DOI: |
中文关键词: 代数几何码 环曲面码 环代数簇 |
英文关键词: |
基金项目: |
Author Name | Affiliation | E-mail | ZUO Huaiqing | Department of Mathematics, East China Normal University, Shanghai 200241,
China. Department of Mathematics, Statistics and Computer Science, University
of Illinois at Chicago, Chicago, Illinois 60607, USA. | hqzuo@126.com | ZHANG Ping | Department of Mathematics, College of Mathematics and Statistics, Chongqing
University, Chongqing 401331, China. | cheungping@gmail.com | LUO Xue | Department of Mathematics, East China Normal University, Shanghai 200241,
China. Department of Mathematics, Statistics and Computer Science, University
of Illinois at Chicago, Chicago, Illinois 60607, USA. | luoxue0327@163.com |
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中文摘要: |
扩充了Hansen的关于几个环曲面码的结果,给出两个新的环曲面码,并且用上同调的方法来计算码的维数,用相交理论的方法来估计最小距离,主要目的是为了证明对应两个不同的多边形可能具有相同的参数.最后,证明了这些新的码在某些有限域上是最好的码. |
英文摘要: |
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