Transactions on Cryptographic Hardware and Embedded Systems, Volume 2023
SoK: SCA-secure ECC in software – mission impossible?
Łukasz Chmielewski
Masaryk University Brno, Czechia and Radboud University, The Netherlands
Björn Haase
Endress+Hauser Liquid Analysis GmbH&Co. KG, Germany
Lejla Batina
Radboud University, The Netherlands
Niels Samwel
Radboud University, The Netherlands
Peter Schwabe
Max Planck Institute for Security and Privacy, Germany and Radboud University, The Netherlands
Keywords: Elliptic Curve Cryptography, Side-Channel Analysis, Fault Injection
Abstract
This paper describes an ECC implementation computing the X25519 keyexchange protocol on the Arm Cortex-M4 microcontroller. For providing protections against various side-channel and fault attacks we first review known attacks and countermeasures, then we provide software implementations that come with extensive mitigations, and finally we present a preliminary side-channel evaluation. To our best knowledge, this is the first public software claiming affordable protection against multiple classes of attacks that are motivated by distinct real-world application scenarios. We distinguish between X25519 with ephemeral keys and X25519 with static keys and show that the overhead to our baseline unprotected implementation is about 37% and 243%, respectively. While this might seem to be a high price to pay for security, we also show that even our (most protected) static implementation is at least as efficient as widely-deployed ECC cryptographic libraries, which offer much less protection.
Publication
Transactions of Cryptographic Hardware and Embedded Systems, Volume 2023, Issue 1
PaperArtifact
Artifact number
tches/2023/a4
Artifact published
September 2, 2023
License
This work is licensed under the Creative Commons Attribution 4.0 International License.
BibTeX How to cite
Batina, L., Chmielewski, Łukasz, Haase, B., Samwel, N., & Schwabe, P. (2022). SoK: SCA-secure ECC in software – mission impossible?. IACR Transactions on Cryptographic Hardware and Embedded Systems, 2023(1), 557–589. https://doi.org/10.46586/tches.v2023.i1.557-589. Artifact at https://artifacts.iacr.org/tches/2023/a8.