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Semantically Secure McEliece Public-Key Cryptosystems -Conversions for McEliece PKC -

  • Kazukuni Kobara
  • Hideki Imai
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1992)

Abstract

Almost all of the current public-key cryptosystems (PKCs) are based on number theory, such as the integer factoring problem and the discrete logarithm problem (which will be solved in polynomialtime after the emergence of quantum computers). While the McEliece PKC is based on another theory, i. e. coding theory, it is vulnerable against several practical attacks. In this paper, we carefully review currently known attacks to the McEliece PKC, and then point out that, without any decryption oracles or any partial knowledge on the plaintext of the challenge ciphertext, no polynomial-time algorithm is known for inverting the McEliece PKC whose parameters are carefully chosen. Under the assumption that this inverting problem is hard, we propose slightly modified versions of McEliece PKC that can be proven,in the random oracle model, to be semantically secure against adaptive chosen-ciphertext attacks. Our conversions can achieve the reduction of the redundant data down to 1 /3 ~1 /4 compared with the generic conversions for practical parameters.

Keywords

Generic Conversion Error Vector Random Oracle Discrete Logarithm Problem Random Oracle Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Kazukuni Kobara
    • 1
  • Hideki Imai
    • 1
  1. 1.Institute of Industrial ScienceThe University of TokyoTokyoJapan

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