Title
Cryptanalysis of RSA Variants with Primes Sharing Most Significant Bits
Abstract
We 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 vertical bar p-q vertical bar is sufficiently small, then one can solve the equation for larger values of d, and factor the RSA modulus, which makes the systems insecure.
Year
DOI
Venue
2021
10.1007/978-3-030-91356-4_3
INFORMATION SECURITY (ISC 2021)
Keywords
DocType
Volume
RSA variants, Continued fractions, Coppersmith's method, Lattice reduction
Conference
13118
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Meryem Cherkaoui Semmouni100.34
Abderrahmane Nitaj27215.00
Willy Susilo34823353.18
Dongvu Tonien4849.91