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Permutation codes for the Gaussian channel

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1 Author(s)
Karlof, J. ; Dept. of Math. Sci., North Carolina Univ., Wilmington, NC, USA

The initial vector problem is considered for group codes for the Gaussian channel and, in particular, for codes generated by permutation groups. Variant I and variant II permutation codes are defined, and optimal initial vectors for these codes are constructed. A numerical algorithm for constructing optimal group codes is presented together with examples of this algorithm applied to several permutation groups

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Information Theory, IEEE Transactions on  (Volume:35 ,  Issue: 4 )