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New Chosen-Ciphertext Attacks on NTRU

  • Nicolas Gama
  • Phong Q. Nguyen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4450)

Abstract

We present new and efficient key-recovery chosen-ciphertext attacks on NTRUencrypt. Our attacks are somewhat intermediate between chosen-ciphertext attacks on NTRUencrypt previously published at CRYPTO ’00 and CRYPTO ’03. Namely, the attacks only work in the presence of decryption failures; we only submit valid ciphertexts to the decryption oracle, where the plaintexts are chosen uniformly at random; and the number of oracle queries is small. Interestingly, our attacks can also be interpreted from a provable security point of view: in practice, if one had access to a NTRUencrypt decryption oracle such that the parameter set allows decryption failures, then one could recover the secret key. For instance, for the initial NTRU-1998 parameter sets, the output of the decryption oracle on a single decryption failure is enough to recover the secret key.

Keywords

Decryption Algorithm Oracle Query Decryption Oracle Choose Ciphertext Attack Random Message 
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 Berlin Heidelberg 2007

Authors and Affiliations

  • Nicolas Gama
    • 1
  • Phong Q. Nguyen
    • 2
  1. 1.École normale supérieure, DI, 45 rue d’Ulm, 75005 ParisFrance
  2. 2.CNRS/École normale supérieure, DI, 45 rue d’Ulm, 75005 ParisFrance

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