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Near optimal single-track Gray codes

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2 Author(s)
Etzion, T. ; Dept. of Comput. Sci., R. Holloway Coll., Egham, UK ; Paterson, K.G.

Single-track Gray codes are a special class of Gray codes which have advantages over conventional Gray codes in certain quantization and coding applications. The problem of constructing high period single-track Gray codes is considered. Three iterative constructions are given, along with a heuristic method for obtaining good seed-codes. In combination, these yield many families of very high period single-track Gray codes. In particular, for m⩾3, length n=2m, period 2 n-2n codes are obtained

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Information Theory, IEEE Transactions on  (Volume:42 ,  Issue: 3 )