Paper 2022/127 Original: eprint.iacr.org/2022/127 ↗
CCA secure ElGamal encryption over an integer group where ICDH assumption holds
Abstract
In order to prove the ElGamal CCA (Chosen Ciphertext Attack) security in the random oracle model, it is necessary to use the group (i.e., ICDH group) where ICDH assumption holds. Until now, only bilinear group where ICDH assumption is equivalent to CDH assumption has been known as the ICDH group. In this paper, we introduce another ICDH group in which ICDH assumption holds under the RSA assumption. Based on this group, we propose the CCA secure ElGamal encryption. And we describe the possibility to speed up decryption by reducing CRT (Chinese Remainder Theorem) exponents in CCA secure ElGamal.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2022-02-09: last updated
- 2022-02-09: published
- Short URL
- https://ia.cr/2022/127
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2022/127,
author = {Gyu-Chol. Kim and Jae-Yong. Sin and Yong-Bok. Jong},
title = {CCA secure ElGamal encryption over an integer group where ICDH assumption holds},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/127},
year = {2022},
url = {https://eprint.iacr.org/2022/127}
}