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

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2 Author(s)
Horn, G.B. ; Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada ; Kschischang, F.R.

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

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Information Theory, IEEE Transactions on  (Volume:42 ,  Issue: 6 )