An Improved BKW Algorithm for LWE with Applications to Cryptography and Lattices

@inproceedings{Kirchner2015AnIB,
  title={An Improved BKW Algorithm for LWE with Applications to Cryptography and Lattices},
  author={Paul Kirchner and Pierre-Alain Fouque},
  booktitle={IACR Cryptology ePrint Archive},
  year={2015}
}
In this paper, we study the Learning With Errors problem and its binary variant, where secrets and errors are binary or taken in a small interval. We introduce a new variant of the Blum, Kalai and Wasserman algorithm, relying on a quantization step that generalizes and fine-tunes modulus switching. In general this new technique yields a significant gain in the constant in front of the exponent in the overall complexity. We illustrate this by solving within half a day a LWE instance with… CONTINUE READING