Prove that in RSA with public key (n,e) and n=pq, the amount of plaintexts x, with Ec(x)=x, is dpdq, where dp=gcd(e-1,p-1) and dq=gcd(e-1,q-1).
Prove that in RSA with public key (n,e) and n=pq, the amount of plaintexts x, with Ec(x)=x, is dpdq, where dp=gcd(e-1,p-1) and dq=gcd(e-1,q-1).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Prove that in RSA with public key (n,e) and n=pq, the amount of plaintexts x, with Ec(x)=x, is dpdq, where dp=gcd(e-1,p-1) and dq=gcd(e-1,q-1).
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