Factorization and Malleability of RSA Moduli, and Counting Points on Elliptic Curves Modulo <i>N</i>

In this paper we address two different problems related with the factorization of an RSA (Rivest–Shamir–Adleman cryptosystem) modulus <i>N</i>. First we show that factoring is equivalent, in deterministic polynomial time, to counting points on a pair of twisted Elliptic curves modulo <...

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Bibliographic Details
Main Authors: Luis V. Dieulefait, Jorge Urroz
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/12/2126