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9 February 2024 FPGA-based multipliers for elliptic curve cryptography
Hongfei Ke, Peiyong Zhang
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Proceedings Volume 13073, Third International Conference on High Performance Computing and Communication Engineering (HPCCE 2023); 1307312 (2024) https://doi.org/10.1117/12.3026399
Event: Third International Conference on High Performance Computing and Communication Engineering (HPCCE 2023), 2023, Changsha, China
Abstract
This paper presents an approach to build large-integer multipliers for Elliptic Curve Cryptography (ECC). Compared to the traditional divide and conquer method, our method introduces the š¯‘›-term Karatsuba-like algorithm and adopts a cascaded structure for integer multiplications, which simplifies the complexity of the whole structure and contributes to a fine-grained multiplier design. Target at the required width of random elliptic curves over prime fields, we implement the design on virtex-7 FPGA and utilize internal DSPs as the fundamental multiplier resources. The synthesis results are compared quantitatively in terms of designs with different parameters and demonstrate the flexibility of our method.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Hongfei Ke and Peiyong Zhang "FPGA-based multipliers for elliptic curve cryptography", Proc. SPIE 13073, Third International Conference on High Performance Computing and Communication Engineering (HPCCE 2023), 1307312 (9 February 2024); https://doi.org/10.1117/12.3026399
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KEYWORDS
Digital signal processing
Design
Cryptography
Field programmable gate arrays
Mathematical optimization
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