On the intractability of permuting a block code to minimize trellis complexity

On the intractability of permuting a block code to minimize trellis complexity
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关于排列块代码以最小化网格复杂性的棘手问题

DOI:
10.1109/18.556701
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发表时间:
1996
影响因子:
2.5
通讯作者:
Frank R. KschischangDepartment
Frank R. KschischangDepartment
中科院分区:
计算机科学2区
文献类型:
--
作者:
ComplexityGavin B. Horn;Frank R. KschischangDepartment

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在分组码格形理论和应用中的一个重要问题是寻找一个给定码的坐标置换,以使格形复杂度最小。我们发现,找到一个坐标置换,最大限度地减少在一个给定的深度在最小的网格的二进制线性分组码的顶点数的问题是NP-完全的。
An important problem in the theory and application of block code trellises is to find a coordinate permutation of a given code to minimize the trellis complexity. We show that the problem of finding a coordinate permutation that minimizes the number of vertices at a given depth in the minimal trellis for a binary linear block code is NP-complete.