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The approximate greatest common divisor problem (ACD) and its variants have been used to construct many cryptographic primitives. In particular, variants of the ACD problem based on Chinese remainder ...
Multilevel and compartmented access structures are two important classes of access structures where participants are grouped into levels/compartments with different degrees of trust and privileges. Th...
Security protocols using public-key cryptography often requires large number of costly modular exponentiations (MEs). With the proliferation of resource-constrained (mobile) devices and advancements i...
Small CRT-Exponent RSA Revisited     CRT-RSA  cryptanalysis  Coppersmith's method  lattices       font style='font-size:12px;'> 2017/2/20
Since May (Crypto'02) revealed the vulnerability of the small CRT-exponent RSA using Coppersmith's lattice-based method, several papers have studied the problem and two major improvements have been ma...
In this work, we analyze all existing RSA-CRT countermeasures against the Bellcore attack that use binary self-secure exponentiation algorithms. We test their security against a powerful adversary b...
Countermeasures Against High-Order Fault-Injection Attacks on CRT-RSA     RSA  CRT  fault injection       font style='font-size:12px;'> 2016/1/8
In this paper we study the existing CRT-RSA countermeasures against fault-injection attacks. In an attempt to classify them we get to achieve deep understanding of how they work. We show that the ma...
By selecting the largest possible value of k∈(n/2,2n/3], we further reduce the AND and XOR gate complexities of the CRT-based hybrid parallel GF(2^n) polynomial basis multipliers for the irreduc...
A Formal Proof of Countermeasures Against Fault Injection Attacks on CRT-RSA     RSA  CRT       font style='font-size:12px;'> 2014/3/10
In this article, we describe a methodology that aims at either breaking or proving the security of CRT-RSA implementations against fault injection attacks. In the specific case-study of the BellCoRe a...
In our paper at PROOFS 2013, we formally studied a few known countermeasures to protect CRT-RSA against the BellCoRe fault injection attack. However, we left Vigilant's countermeasure and its alleged ...
In 1978, Rivest, Adleman and Dertouzos introduced the basic concept of privacy homomorphism that allows computation on encrypted data without decryption. It was elegant work that precedes the recent d...
Modulus Fault Attacks Against RSA-CRT Signatures     implementation / Fault Attacks  Digital Signatures  RSA  CRT  Lattices       font style='font-size:12px;'> 2012/3/27
RSA-CRT fault attacks have been an active research area since their discovery by Boneh, DeMillo and Lipton in 1997. We present alternative key-recovery attacks on RSA-CRT signatures: instead of target...
Modulus Fault Attacks Against RSA-CRT Signatures     Fault Attacks  Digital Signatures  RSA  CRT  Lattices       font style='font-size:12px;'> 2011/7/25
RSA-CRT fault attacks have been an active research area since their discovery by Boneh, DeMillo and Lipton in 1997.
Cryptanalysis of Dual CRT-RSA     RSA  CRT-RSA  Dual RSA  Dual CRT-RSA  Cryptanalysis  Lattices       font style='font-size:12px;'> 2010/11/26
Several schemes under the framework of Dual RSA have been proposed by Sun et al (IEEE-IT, August 2007). We here concentrate on the Dual CRT-RSA scheme and present certain range of parameters for which...
An Improved Timing Attack with Error Detection on RSA-CRT     Timing attack  RSA  T-test  Montgomery reduction       font style='font-size:12px;'> 2010/2/20
Several types of timing attacks have been published, but they are either in theory or hard to be taken into practice. In order to improve the feasibility of attack, this paper proposes an advance timi...
CLASS INVARIANTS BY THE CRT METHOD     CRT  Hilbert class polynomials  CM method       font style='font-size:12px;'> 2010/2/1
We adapt the CRT approach to computing Hilbert class polynomials to handle a wide range of class invariants. For suitable discriminants D, this improves its performance by a large constant factor, m...

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