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IEICE TRANSACTIONS on Fundamentals

Generalized Framework to Attack RSA with Special Exposed Bits of the Private Key

Shixiong WANG, Longjiang QU, Chao LI, Shaojing FU

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Summary :

In this paper, we study partial key exposure attacks on RSA where the number of unexposed blocks of the private key is greater than or equal to one. This situation, called generalized framework of partial key exposure attack, was first shown by Sarkar [22] in 2011. Under a certain condition for the values of exposed bits, we present a new attack which needs fewer exposed bits and thus improves the result in [22]. Our work is a generalization of [28], and the approach is based on Coppersmith's method and the technique of unravelled linearization.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.10 pp.2113-2122
Publication Date
2017/10/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E100.A.2113
Type of Manuscript
PAPER
Category
Cryptography and Information Security

Authors

Shixiong WANG
  National University of Defense Technology
Longjiang QU
  National University of Defense Technology,State Key Laboratory of Cryptology
Chao LI
  National University of Defense Technology
Shaojing FU
  National University of Defense Technology,State Key Laboratory of Cryptology

Keyword