Paper 2024/593 Original: eprint.iacr.org/2024/593 ↗
The Case of Small Prime Numbers Versus the Okamoto-Uchiyama Cryptosystem
Abstract
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2024-04-16: last updated
- 2024-04-16: published
- Short URL
- https://ia.cr/2024/593
- License
- https://creativecommons.org/licenses/by-nc-sa/4.0/
BibTeX
@misc{cryptoeprint:2024/593,
author = {George Teseleanu},
title = {The Case of Small Prime Numbers Versus the Okamoto-Uchiyama Cryptosystem},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/593},
year = {2024},
url = {https://eprint.iacr.org/2024/593}
}