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Approximating CVP to Within Almost-Polynomial Factors is NP-Hard

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Combinatorica Aims and scope Submit manuscript

This paper shows the problem of finding the closest vector in an n-dimensional lattice to be NP-hard to approximate to within factor n c/log log n for some constant c > 0.

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Authors and Affiliations

  1. Department of Computer Science, Tel-Aviv University, Tel-Aviv, 69978, Israel

    I. Dinur

  2. Department of Computer Science, Tel-Aviv University, Tel-Aviv, 69978, Israel

    G. Kindler

  3. Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, 76100, Israel

    R. Raz

  4. Department of Computer Science, Tel-Aviv University, Tel-Aviv, 69978, Israel

    S. Safra

Authors
  1. I. Dinur
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  2. G. Kindler
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  3. R. Raz
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  4. S. Safra
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Correspondence to I. Dinur.

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Dinur, I., Kindler, G., Raz, R. et al. Approximating CVP to Within Almost-Polynomial Factors is NP-Hard. Combinatorica 23, 205–243 (2003). https://doi.org/10.1007/s00493-003-0019-y

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  • DOI: https://doi.org/10.1007/s00493-003-0019-y

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