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/spl ges/3, length n=2/sup m/, period 2/sup n/-2n codes are obtained.
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机译：单轨格雷码是一类特殊的格雷码，在某些量化和编码应用中，它比常规格雷码具有优势。考虑构造高周期单轨格雷码的问题。给出了三种迭代构造以及用于获得良好种子代码的启发式方法。结合起来，这些产生许多家族的非常高周期的单轨格雷码。特别地，对于m / splges / 3，获得长度n ＝ 2 / sup m /，周期2 / sup n / -2n码。
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