A new upper bound for the length of snakes

Abstract

Ad-dimensional circuit code of spreads is a simple circuitC in the graph of thed-dimen sional unit cube with the property that for any verticesx andy ofC which differ in exactlyr co-ordinates,r<s, there exists a path fromx toy consisting ofr edges ofC. This property is useful for detecting and limiting errors. In this paper we give a new upper bound for the maximum length of ad-dimensional circuit code of spread 2.

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Deimer, K. A new upper bound for the length of snakes. Combinatorica 5, 109 (1985). https://doi.org/10.1007/BF02579373

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AMS subject classification 1980

  • 05 C 35
  • 94 B 25