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28 March 2024
 
  » arxiv » cond-mat/9605050

 Article overview


Exhaustive search for low autocorrelation binary sequences
S. Mertens ;
Date 8 May 1996
Subject cond-mat
AbstractBinary sequences with low autocorrelations are important in communication engineering and in statistical mechanics as groundstates of the Bernasconi-model. Computer searches are the main tool to construct such sequences. Due to the exponential size $O(2^N)$ of the configuration space, exhaustive searches are limited to short sequences. We discuss an exhaustive search algorithm with run time characteristic $O(1.85^N)$ and apply it to compile a table of exact groundstates of the Bernasconi-model up to $N=48$. The data suggests $F>9$ for the optimal merit factor in the limit $N oinfty$.
Source arXiv, cond-mat/9605050
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