A generalized attack on RSA type cryptosystems

Abstract

Let N = pq be an RSA modulus with unknown factorization. Some variants of the RSA cryptosystem, such as LUC, RSA with Gaussian primes and RSA type schemes based on singular elliptic curves use a public key e and a private key d satisfying an equation of the form ed − k ( p − 1 ) ( q − 1 ) = 1. In this paper, we consider the general equation ex− ( p − 1… (More)
DOI: 10.1016/j.tcs.2017.09.009

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