CryptoDB
FINAL bootstrap acceleration on FPGA using DSP-free constant-multiplier NTTs
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Abstract: | This work showcases Quatorze-bis, a state-of-the-art Number Theoretic Transform circuit for TFHE-like cryptosystems on FPGAs. It contains a novel modular multiplication design for modular multiplication with a constant for a constant modulus. This modular multiplication design does not require any DSP units or any dedicated multiplier unit, nor does it require extra logic when compared to the state-of-the-art modular multipliers. Furthermore, we present an implementation of a constant multiplier Number Theoretic Transform design for TFHE-like schemes. Lastly, we use this Number Theoretic Transform design to implement a FINAL hardware accelerator for the AMD Alveo U55c which improves the Throughput metric of TFHE-like cryptosystems on FPGAs by a factor 9.28x over Li et al.’s NFP CHES 2024 accelerator and by 10-25% over the absolute state-of-the-art design FPT [vBDTV23] while using one third of FPTs DSPs. |
BibTeX
@article{tches-2025-35780, title={FINAL bootstrap acceleration on FPGA using DSP-free constant-multiplier NTTs}, journal={IACR Transactions on Cryptographic Hardware and Embedded Systems}, publisher={Ruhr-Universität Bochum}, volume={2025}, pages={293-316}, url={https://tches.iacr.org/index.php/TCHES/article/view/12218}, doi={10.46586/tches.v2025.i3.293-316}, author={Jonas Bertels and Hilder V. L. Pereira and Ingrid Verbauwhede}, year=2025 }