Efficient variants of the GGH-YK-M cryptosystem

  • João M. M. Barguil USP
  • Renan Yuri Lino USP
  • Paulo S. L. M. Barreto USP


The Goldreich-Goldwasser-Halevi scheme was deemed broken until recently proposed variants were shown to thwart all known attacks. However, the associated key sizes and generation times are notoriously inefficient. In this paper, we improve on the most promising such variant, proposed by Barros and Schechter and called GGH-YK-M, by reducing public key sizes rom O(n2 lg n) down to O(n lg n) bits, and making key generation over 3 orders of magnitude faster than the results in the literature.

Palavras-chave: lattice-based encryption


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BARGUIL, João M. M.; LINO, Renan Yuri; BARRETO, Paulo S. L. M.. Efficient variants of the GGH-YK-M cryptosystem. In: SIMPÓSIO BRASILEIRO DE SEGURANÇA DA INFORMAÇÃO E DE SISTEMAS COMPUTACIONAIS (SBSEG), 14. , 2014, Belo Horizonte. Anais [...]. Porto Alegre: Sociedade Brasileira de Computação, 2014 . p. 100-111. DOI: https://doi.org/10.5753/sbseg.2014.20124.