RSA with Chinese Reminder Theorem Immune to Fault Cryptanalysis

نویسندگان

  • Janusz BIERNAT
  • Maciej NIKODEM
چکیده

This article examines the problem of fast RSA encryption with Chinese Reminder Theorem (CRT) immune against hardware fault cryptanalysis. This type of RSA scheme has been widely adopted as a standard implementation in many applications ranging from large servers to tiny smart cards. However, single error in this scheme can totally break the whole RSA scheme by factoring public modulus. It will be pointed out in this paper that very few of this existing solutions are both sound and effective. We will define hardware faults that enable to brake schemes of RNS encoding known in an open literature in at most three RSA computations. We also propose a new CRT-based RSA scheme that is immune to fault cryptanalysis.

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تاریخ انتشار 2004