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Te “art of trellis decoding” is computationally hard-for large fields

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3 Author(s)
Jain, K. ; Coll. of Comput., Georgia Inst. of Technol., Atlanta, GA, USA ; Mandoin, I. ; Vazirani, Vijay V.

The problem of minimizing the trellis complexity of a code by coordinate permutation is studied. Three measures of trellis complexity are considered: the total number of states, the total number of edges, and the maximum state complexity of the trellis. The problem is proven NP-hard for all three measures, provided the field over which the code is specified is not fixed. We leave open the problem of dealing with the case of a fixed field, in particular GF(2)

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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 3 )