The Case of Small Prime Numbers Versus the Okamoto-Uchiyama Cryptosystem

ePrint Report: The Case of Small Prime Numbers Versus the Okamoto-Uchiyama Cryptosystem

George Teseleanu

In this paper we study the effect of using small prime numbers within the Okamoto-Uchiyama public key encryption scheme. We introduce two novel versions and prove their security. Then we show how to choose the system's parameters such that the security results hold. Moreover, we provide a practical comparison between the cryptographic algorithms we introduced and the original Okamoto-Uchiyama cryptosystem.

case effect encryption eprint report key novel numbers prime prove public public key public key encryption report security study system