Add to ORKGInternational audienceWe consider four variants of the RSA cryptosystem with an RSA modulus N = pq where the public exponent e and the private exponent d satisfy an equation of the form ed − k (p^2 − 1)( q^2 − 1 )= 1. We show that, if the prime numbers p and q share most significant bits, that is, if the prime difference |p − q| is sufficiently small, then one can solve the equation for larger values of d, and factor the RSA modulus, which makes the systems insecure
Abstract. We present three attacks on the Prime Power RSA with mod-ulus N = prq. In the first attack...
The invention in 1978 of the first practical asymmetric cryptosystem known as RSA was a breakthrough...
Multi-prime RSA is a variant of RSA in which the modulus is the product of more than two distinct pr...
Abstract. We show that choosing an RSA modulus with a small difference of its prime factors yields i...
International audienceLet N = pq be an RSA modulus with unknown factorization. The RSA cryptosystem ...
Given knowledge of one or more of the primes in a multiprime RSA modulus we show that the private ex...
The Security of Rivest, Shamir and Adleman Cryptosystem known as RSA and its variants rely on the di...
International audienceLet N = pq be an RSA modulus with unknown factorization. Some variants of the ...
We investigate the security of a variant of the RSA public-key cryptosystem called LSBS-RSA, in whic...
[[abstract]]LSBS-RSA denotes an RSA system with modulus primes, p and q , sharing a large number of ...
International audienceLet N = pq be an RSA modulus with balanced prime factors. In 2018, Murru and S...
International audienceWe present three attacks on the Prime Power RSA with mod-ulus N = p^r q. In th...
Let \(N = p^r q\) be an RSA prime power modulus for \(r \geq 2\) and \(q < p < 2 q\). This paper pro...
[[abstract]]In the RSA system, balanced modulus N denotes a product of two large prime numbers p and...
The invention in 1978 of the first practical asymmetric cryptosystem known as RSA was a breakthrough...
Abstract. We present three attacks on the Prime Power RSA with mod-ulus N = prq. In the first attack...
The invention in 1978 of the first practical asymmetric cryptosystem known as RSA was a breakthrough...
Multi-prime RSA is a variant of RSA in which the modulus is the product of more than two distinct pr...
Abstract. We show that choosing an RSA modulus with a small difference of its prime factors yields i...
International audienceLet N = pq be an RSA modulus with unknown factorization. The RSA cryptosystem ...
Given knowledge of one or more of the primes in a multiprime RSA modulus we show that the private ex...
The Security of Rivest, Shamir and Adleman Cryptosystem known as RSA and its variants rely on the di...
International audienceLet N = pq be an RSA modulus with unknown factorization. Some variants of the ...
We investigate the security of a variant of the RSA public-key cryptosystem called LSBS-RSA, in whic...
[[abstract]]LSBS-RSA denotes an RSA system with modulus primes, p and q , sharing a large number of ...
International audienceLet N = pq be an RSA modulus with balanced prime factors. In 2018, Murru and S...
International audienceWe present three attacks on the Prime Power RSA with mod-ulus N = p^r q. In th...
Let \(N = p^r q\) be an RSA prime power modulus for \(r \geq 2\) and \(q < p < 2 q\). This paper pro...
[[abstract]]In the RSA system, balanced modulus N denotes a product of two large prime numbers p and...
The invention in 1978 of the first practical asymmetric cryptosystem known as RSA was a breakthrough...
Abstract. We present three attacks on the Prime Power RSA with mod-ulus N = prq. In the first attack...
The invention in 1978 of the first practical asymmetric cryptosystem known as RSA was a breakthrough...
Multi-prime RSA is a variant of RSA in which the modulus is the product of more than two distinct pr...