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Double Counting in 2t -ary RSA Precomputation Reveals the Secret Exponent

Double Counting in 2t -ary RSA Precomputation Reveals the Secret Exponent

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Double Counting in 2t -ary RSA Precomputation Reveals the Secret Exponent

 A new fault attack, double counting attack (DCA), on the precomputation of 2 -ary modular exponentiation for a classical RSA digital signature (i.e., RSA without the Chinese remainder theorem) is proposed. The 2t -ary method is the most popular and widely used algorithm to speed up the RSA signature process. Developers can realize the fastest signature process by choosing optimum t . For example, t = 6 is optimum for a 1536-bit classical RSA implementation. The 2t -ary method requires precomputation to generate small exponentials of message. Conventional fault attack research has paid little attention to precomputation, even though precomputation could be a target of a fault attack. The proposed DCA induces faults in precomputation using instruction skip technique, which is equivalent to replacing an instruction with a no operation in assembly language. This paper also presents a useful position checker tool to determine the position of the 2t -ary coefficients of the secret exponent from signatures based on faulted precomputations. The DCA is demonstrated to be an effective attack method for some widely used parameters.


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  • Model: PROJ5666
  • 999 Units in Stock
  • Manufactured by: ClickMyProjects

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This product was added to our catalog on Tuesday 27 September, 2016.