论文标题

线性代码的计算机分类

Computer classification of linear codes

论文作者

Bouyukliev, Iliya, Bouyuklieva, Stefka, Kurz, Sascha

论文摘要

我们介绍了基于规范增强和晶格枚举的有限字段上线性代码分类的算法。我们应用这些算法以在具有2、3和4个元素的字段上获得分类结果。我们验证了具有文献的已知分类结果的算法的正确实现,我们部分扩展到了较大的参数范围。

We present algorithms for classification of linear codes over finite fields, based on canonical augmentation and on lattice point enumeration. We apply these algorithms to obtain classification results over fields with 2, 3 and 4 elements. We validate a correct implementation of the algorithms with known classification results from the literature, which we partially extend to larger ranges of parameters.

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