Thirty years after RSA was first publicized, it remains an active research area. Although
several good surveys exist, they are either slightly outdated or only focus on one type of …

RSA is the first workable and practicable public-key cryptographic system, based on the use
of large prime numbers. It is also the most popular and widely-used cryptographic system in …

Multi-prime RSA is a variant of RSA in which the modulus is the product of more than two
distinct primes. In this work we collect the strongest known algebraic attacks on multi-prime …

For virtual private network and LAN-to-LAN tunnel sessions, End-to-End security is the main
constraint in private messaging scenarios. Internet Protocol Security can negotiate new keys …

The RSA cryptosystem, named after its inventors, Rivest, Shamir and Adleman, is the most
widely known and widely used public-key cryptosystem in the world today. Compared to …

In 1996, Coppersmith introduced two lattice reduction based techniques to find small roots in
polynomial equations. One technique works for modular univariate polynomials, the other for …

Efficient balancing of privacy and strong authentication in end-to-end (E2E) security
constitutes a challenging task in the field of personal messaging. Since RSA is a ubiquitous …

Balancing efficiency, privacy, and security along with strong authentication in the End-to-End
(E2E) communication is a burning issue in personal messaging. Rivest–Shamir–Adleman …

In this paper, we study the security of multi-prime RSA whose modulus is N= p1p2··· pr for
r≥ 3 with small prime difference of size Nγ. In ACISP 2013, Zhang and Takagi showed a …

Multiprime RSA is a variant of RSA, where the modulus is the product of three or more prime
numbers. In this paper, we attack Multiprime RSA. Our attack assumes that many instances …