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Statistical Mechanics Approach to Coding Theory

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Abstract

We propose a method based on cluster expansion to study the optimal code with a given distance between codewords. Using this approach we find the Gilbert–Varshamov lower bound for the rate of largest code.

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REFERENCES

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Authors and Affiliations

  1. Departamento de Matematica, ICEx-UFMG, Belo Horizonte, Brazil

    A. Procacci

  2. Dipartimento di Matimatica, Università “La Sapienza” di Roma, 00185, Rome, Italy

    B. Scoppola

Authors
  1. A. Procacci
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  2. B. Scoppola
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Procacci, A., Scoppola, B. Statistical Mechanics Approach to Coding Theory. Journal of Statistical Physics 96, 907–912 (1999). https://doi.org/10.1023/A:1004666811087

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  • DOI: https://doi.org/10.1023/A:1004666811087

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