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Let N=pqN=pq be an RSA modulus and ee be a public exponent. Numerous attacks on RSA exploit the arithmetical properties of the key equation ed−k(p−1)(q−1)=1ed−k(p−1)(q...
Migration of security applications to the cloud poses unique challenges in key management and protection: asymmetric keys which would previously have resided in tamper-resistant, on-premise Hardware S...
This paper presents the results of several successful profiled side-channel attacks against a secure implementation of the RSA algorithm. The implementation was running on a ARM Core SC 100 completed ...
We give the first positive results about instantiability of the widely implemented and standardized RSA-OAEP encryption scheme of Bellare and Rogaway (EUROCRYPT 1994) and variants under chosen-ciphert...
We would like to compute RSA signatures with the help of a Hardware Security Module (HSM). But what can we do when we want to use a certain public exponent that the HSM does not allow or support? Surp...
We revisit the factoring with known bits problem on general RSA moduli in the forms of N=prqsN=prqs for r,s≥1r,s≥1, where two primes pp and qq are of the same bit-size. The relevant moduli are inclusi...
We present two new, highly efficient, protocols for securely generating a distributed RSA key pair in the two-party setting. One protocol is semi-honestly secure and the other maliciously secure. Both...
We present two attacks on RSA as its applications. One focuses on the case with known bits of the private exponent together with the prime factor, and the other considers the case with a small differe...
Thus far, several lattice-based algorithms for partial key exposure attacks on RSA, i.e., given the most/least significant bits (MSBs/LSBs) of a secret exponent dd and factoring an RSA modulus NN, hav...
We repurpose existing RSA/ECC co-processors for (ideal) lattice-based cryptography by exploiting the availability of fast long integer multiplication. Such co-processors are deployed in smart cards in...
SSH is a security network protocol that uses public key cryptography for client authentication. SSH connections are designed to be run between a client and a server and therefore in enterprise network...
During the last decade, constant-time cryptographic software has quickly transitioned from an academic construct to a concrete security requirement for real-world libraries. Most of OpenSSL's constant...
Special purpose factoring algorithms have discouraged the adoption of multi-power RSA, even in a post-quantum setting. We revisit the known attacks and find that a general recommendation against repea...
In this work we construct efficient aggregate signatures from the RSA assumption in the synchronized setting. In this setting, the signing algorithm takes as input a (time) period tt as well the secre...
In many applications, it is important to verify that an RSA public key (N,e) specifies a permutation, in order to prevent attacks due to adversarially-generated public keys. We design and implement a ...

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