摘要翻译:
我们将展示如何从一般位置的仿射线和适当的有理点集的配置中获得线性码。我们还将解释一种基于配置的新解码算法,该算法似乎相当有效。
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英文标题:
《On a linear code from a configuration of affine lines》
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作者:
Ken-ichi Sugiyama
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最新提交年份:
2007
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分类信息:
一级分类:Computer Science 计算机科学
二级分类:Information Theory 信息论
分类描述:Covers theoretical and experimental aspects of information theory and coding. Includes material in ACM Subject Class E.4 and intersects with H.1.1.
涵盖信息论和编码的理论和实验方面。包括ACM学科类E.4中的材料,并与H.1.1有交集。
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一级分类:Computer Science 计算机科学
二级分类:Discrete Mathematics 离散数学
分类描述:Covers combinatorics, graph theory, applications of probability. Roughly includes material in ACM Subject Classes G.2 and G.3.
涵盖组合学,图论,概率论的应用。大致包括ACM学科课程G.2和G.3中的材料。
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Information Theory 信息论
分类描述:math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
它是cs.it的别名。涵盖信息论和编码的理论和实验方面。
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英文摘要:
We will show how to obtain a linear code from a configuration of affine lines in general position and a suitable set of rational points. We will also explain a new decoding algorithm based on the configuration, which seems to be quite effective.
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PDF链接:
https://arxiv.org/pdf/0708.2784


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