Abstract
To prove or disprove the computational equivalence of solving the RSA problem and factoring integers is a longstanding open problem in cryptography. This paper provides some evidence towards the validity of this equivalence. We show that any efficient generic ring algorithm which solves the (flexible) low-exponent RSA problem can be converted into an efficient factoring algorithm. Thus, the low-exponent RSA problem is intractable w.r.t. generic ring algorithms provided that factoring is hard.
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Leander, G., Rupp, A. (2006). On the Equivalence of RSA and Factoring Regarding Generic Ring Algorithms. In: Lai, X., Chen, K. (eds) Advances in Cryptology – ASIACRYPT 2006. ASIACRYPT 2006. Lecture Notes in Computer Science, vol 4284. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11935230_16
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DOI: https://doi.org/10.1007/11935230_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49475-1
Online ISBN: 978-3-540-49476-8
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