Cryptographic Engineering a Fast and Efficient SIKE in FPGA

Author:

Elkhatib Rami,Koziel Brian,Azarderakhsh Reza1,Kermani Mehran Mozaffari2

Affiliation:

1. Florida Atlantic University, USA

2. University of South Florida, USA

Abstract

Recent attacks have shown that SIKE is not secure and should not be used in its current state. However, this work was completed before these attacks were discovered and might be beneficial to other cryptosystems such as SQISign. The primary downside of SIKE is its performance. However, this work achieves new SIKE speed records even using less resources than the state-of-the-art. Our approach entails designing and optimizing a new field multiplier, SIKE-optimized Keccak unit, and high-level controller. On a Xilinx Virtex-7 FPGA, this architecture performs the NIST Level 1 SIKE scheme key encapsulation and key decapsulation functions in 2.23 and 2.39 ms, respectively. The combined key encapsulation and decapsulation time is 4.62 ms, which outperforms the next best Virtex-7 implementation by nearly 2 ms. Our implementation achieves speed records for the NIST Level 1, 2, and 3 parameter sets. Only our NIST Level 5 parameter set was beat by an all-out performance implementation. Our implementations also efficiently utilize the FPGA resources, achieving new records in area-time product metrics for all parameter sets. Overall, this work continues to push the bar for accelerating SIKE computations to make a stronger case for SIKE standardization.

Publisher

Association for Computing Machinery (ACM)

Subject

Hardware and Architecture,Software

Reference59 articles.

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2. Mila Anastasova , Reza Azarderakhsh , and Mehran Mozaffari Kermani . 2021. Fast Strategies for the Implementation of SIKE Round 3 on ARM Cortex-M4 . IEEE Transactions on Circuits and Systems I: Regular Papers ( 2021 ), 1–13. https://doi.org/10.1109/TCSI.2021.3096916 10.1109/TCSI.2021.3096916 Mila Anastasova, Reza Azarderakhsh, and Mehran Mozaffari Kermani. 2021. Fast Strategies for the Implementation of SIKE Round 3 on ARM Cortex-M4. IEEE Transactions on Circuits and Systems I: Regular Papers (2021), 1–13. https://doi.org/10.1109/TCSI.2021.3096916

3. Reza Azarderakhsh Matthew Campagna Craig Costello Luca De Feo Basil Hess Aaron Hutchinson Amir Jalali David Jao Koray Karabina Brian Koziel Brian LaMacchia Patrick Longa Michael Naehrig Geovandro Pereira Joost Renes Vladimir Soukharev and David Urbanik. 2020. Supersingular Isogeny Key Encapsulation. Submission to the NIST Post-Quantum Standardization Project. https://sike.org/ Reza Azarderakhsh Matthew Campagna Craig Costello Luca De Feo Basil Hess Aaron Hutchinson Amir Jalali David Jao Koray Karabina Brian Koziel Brian LaMacchia Patrick Longa Michael Naehrig Geovandro Pereira Joost Renes Vladimir Soukharev and David Urbanik. 2020. Supersingular Isogeny Key Encapsulation. Submission to the NIST Post-Quantum Standardization Project. https://sike.org/

4. Reza Azarderakhsh Matthew Campagna Craig Costello Luca De Feo Basil Hess Amir Jalali David Jao Brian Koziel Brian LaMacchia Patrick Longa Michael Naehrig Joost Renes Vladimir Soukharev and David Urbanik. 2017. Supersingular Isogeny Key Encapsulation. Submission to the NIST Post-Quantum Standardization Project. https://sike.org/ Reza Azarderakhsh Matthew Campagna Craig Costello Luca De Feo Basil Hess Amir Jalali David Jao Brian Koziel Brian LaMacchia Patrick Longa Michael Naehrig Joost Renes Vladimir Soukharev and David Urbanik. 2017. Supersingular Isogeny Key Encapsulation. Submission to the NIST Post-Quantum Standardization Project. https://sike.org/

5. Key Compression for Isogeny-Based Cryptosystems

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