Side Channel Attack Resistance of the Elliptic Curve Point Multiplication using Eisenstein Integers
- Asymmetric cryptography empowers secure key exchange and digital signatures for message authentication. Nevertheless, consumer electronics and embedded systems often rely on symmetric cryptosystems because asymmetric cryptosystems are computationally intensive. Besides, implementations of cryptosystems are prone to side-channel attacks (SCA). Consequently, the secure and efficient implementation of asymmetric cryptography on resource-constrained systems is demanding. In this work, elliptic curve cryptography is considered. A new concept for an SCA resistant calculation of the elliptic curve point multiplication over Eisenstein integers is presented and an efficient arithmetic over Eisenstein integers is proposed. Representing the key by Eisenstein integer expansions is beneficial to reduce the computational complexity and the memory requirements of an SCA protected implementation.
| Author: | Johann-Philipp ThiersORCiD, Malek Safieh, Jürgen FreudenbergerORCiDGND |
|---|---|
| URL: | https://edas.info/p27511 |
| Parent Title (English): | ICCE Berlin 2020, 10th IEEE International Conference on Consumer Electronics, 9.-12.11.2020, virtual |
| Publisher: | IEEE |
| Document Type: | Conference Proceeding |
| Language: | English |
| Year of Publication: | 2020 |
| Release Date: | 2021/01/18 |
| Page Number: | 6 |
| Institutes: | Institut für Systemdynamik - ISD |
| Open Access?: | Ja |
