Paper 2023/375
Accelerating exp-log based finite field multiplication
, Univ. Grenoble Alpes, CEA, List, F-38000 Grenoble, FranceAbstract
Finite field multiplication is widely used for masking countermeasures against side-channel attacks. The execution time of finite field multiplication implementation is critical as it greatly impacts the overhead of the countermeasure. In this context, the use of exp-log tables is popular for the implementation of finite field multiplication. Yet, its performance is affected by the need for particular code to handle the case where one of the operands equals zero, as log is undefined for zero. As noticed by two recent papers, the zero case can be managed without any extra code by extending the exp table and setting $log[0]$ to a large-enough value. The multiplication of $a$ and $b$ then becomes as simple as: $exp[log[a]+log[b]]$. In this paper, we compare this approach with other implementations of finite field multiplication and show that it provides a good trade-off between memory use and execution time.
Metadata
- Available format(s)
-
PDF
- Category
- Implementation
- Publication info
- Preprint.
- Keywords
- finite field multiplicationlogmasking
- Contact author(s)
- nicolas belleville @ cea fr
- History
- 2023-03-16: approved
- 2023-03-15: received
- See all versions
- Short URL
- https://ia.cr/2023/375
- License
-
CC BY-NC-ND
BibTeX
@misc{cryptoeprint:2023/375,
author = {Nicolas Belleville},
title = {Accelerating exp-log based finite field multiplication},
howpublished = {Cryptology {ePrint} Archive, Paper 2023/375},
year = {2023},
url = {https://eprint.iacr.org/2023/375}
}
