Reconfigurable Polynomial Multiplication Architecture for Lattice-based Post-quantum Cryptography Algorithms

CHEN Tao; LI Huiqin; LI Wei; NAN Longmei; Du Yiran

doi:10.11999/JEIT230284

Volume 45 Issue 9

Sep. 2023

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Article Navigation > Journal of Electronics & Information Technology > 2023 > 45(9): 3380-3392

Ying ZHANG, Yufeng YAO. Channel Estimation Algorithm of Maritime Sparse Channel Based on Fast Bayesian Matching Pursuit Optimization[J]. Journal of Electronics & Information Technology, 2020, 42(2): 534-540. doi: 10.11999/JEIT190102

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CHEN Tao, LI Huiqin, LI Wei, NAN Longmei, Du Yiran. Reconfigurable Polynomial Multiplication Architecture for Lattice-based Post-quantum Cryptography Algorithms[J]. Journal of Electronics & Information Technology, 2023, 45(9): 3380-3392. doi: 10.11999/JEIT230284

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Reconfigurable Polynomial Multiplication Architecture for Lattice-based Post-quantum Cryptography Algorithms

doi: 10.11999/JEIT230284

LA Information Engineering University, Zhengzhou 450000, China

Funds: The National Natural Science Foundation of China (61404175), The National Science and Technology Major Project (2018ZX01027101-004), The Natural Science Foundation of Henan Province (232300421393)

Received Date: 2023-04-17
Accepted Date: 2023-08-21
Rev Recd Date: 2023-08-19

Available Online: 2023-08-24

Publish Date: 2023-09-27

Abstract

Abstract

Focusing on the current situation that polynomial multiplication parameters in lattice-based cryptography algorithms with different difficult problems and the implementation architecture are not uniform, a reconfigurable architecture based on Preprocess-then-Number Theoretic Transformation (PtNTT) algorithm is proposed. Firstly, the influence of polynomial parameters (number of items, modulus and modulus polynomial) on reconfigurable architecture is integrated by analyzing the characteristics of polynomial multiplication. Secondly, a 4×4 series of parallel convertible arithmetic unit architecture is designed for different terms and modular polynomials, which can meet the scalable design of different bit width k-based number theory transformations. Specifically, a reconfigurable unit that can realize 16-bit modular multiplication and 32-bit multiplication is designed for different modules. In the process of data demand analysis, a multi-bank storage structure satisfying the k-based number theory transformation is designed by constructing a distribution mechanism based on coefficient address generation, bank division and actual and virtual address correspondence logic. Experimental results show that this paper supports the implementation of polynomial multiplication in the four types of algorithms Kyber, Saber, Dilithium and NTRU.The polynomial multiplication operation in the four algorithms can be realized by using a unified architecture compared with the other reconfigurable architectures. A set of polynomial multiplication operations with 256 terms and a modulus of 3329 can be completed at 1.599 μs, consuming 243 clocks on Xilinx Artix-7 FPGA platform.

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References(14)

References

[1]	SHOR P W. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer[J]. SIAM Review, 1999, 41(2): 303–332. doi: 10.1137/S0036144598347011
[2]	ALAGIC G, ALPERIN-SHERIFF J, APON D, et al. Status report on the second round of the NIST post-quantum cryptography standardization process[R]. NIST IR 8309, 2020.
[3]	ALAGIC G, ALPERIN-SHERIFF J, APON D, et al. Status report on the first round of the NIST post-quantum cryptography standardization process[R]. NISTIR 8240, 2019.
[4]	BANERJEE U, UKYAB T S, and CHANDRAKASAN A P. Sapphire: A configurable crypto-processor for post-quantum lattice-based protocols[J]. IACR Transactions on Cryptographic Hardware and Embedded Systems, 2019, 2019(4): 17–61. doi: 10.13154/tches.v2019.i4.17-61
[5]	FRITZMANN T, SHARIF U, MÜLLER-GRITSCHNEDER D, et al. Towards reliable and secure post-quantum co-processors based on RISC-V[C]. 2019 Design, Automation & Test in Europe Conference & Exhibition (DATE), Florence, Italy, 2019: 1148–1153.
[6]	刘冬生, 赵文定, 刘子龙, 等. 应用于格密码的可重构多通道数论变换硬件设计[J]. 电子与信息学报, 2022, 44(2): 566–572. doi: 10.11999/JEIT210114 LIU Dongsheng, ZHAO Wending, LIU Zilong, et al. Reconfigurable hardware design of multi-lanes number theoretic transform for lattice-based cryptography[J]. Journal of Electronics &Information Technology, 2022, 44(2): 566–572. doi: 10.11999/JEIT210114
[7]	FRITZMANN T, SIGL G, and SEPÚLVEDA J. RISQ-V: Tightly coupled RISC-V accelerators for post-quantum cryptography[R]. Paper 2020/446, 2020.
[8]	LI Aobo, LIU Dongsheng, LI Xiang, et al. A flexible instruction-based post-quantum cryptographic processor with modulus reconfigurable arithmetic unit for module LWR&E[C]. 2022 IEEE Asian Solid-State Circuits Conference (A-SSCC), Taipei, China, 2022: 1–3.
[9]	ZHAO Yifan, XIE Ruiqi, XIN Guozhu, et al. A high-performance domain-specific processor with matrix extension of RISC-V for module-LWE Applications[J]. IEEE Transactions on Circuits and Systems I:Regular Papers, 2022, 69(7): 2871–2884. doi: 10.1109/TCSI.2022.3162593
[10]	ZHU Yihong, ZHU Wenping, ZHU Min, et al. A 28nm 48KOPS 3.4µJ/Op agile crypto-processor for post-quantum cryptography on multi-mathematical problems[C]. 2022 IEEE International Solid- State Circuits Conference (ISSCC), San Francisco, USA, 2022: 514–516.
[11]	ALKIM E, CHENG D Y L, CHUNG C M M, et al. Polynomial multiplication in NTRU Prime: Comparison of optimization strategies on Cortex-M4[R]. Paper 2020/1216, 2020.
[12]	曲英杰. 可重构密码协处理器的组成与结构[J]. 计算机工程与应用, 2003, 39(23): 32–34. doi: 10.3321/j.issn:1002-8331.2003.23.011 QU Yingjie. Components and structure of reconfigurable cipher coprocessor[J]. Computer Engineering and Applications, 2003, 39(23): 32–34. doi: 10.3321/j.issn:1002-8331.2003.23.011
[13]	AIKATA A, MERT A C, JACQUEMIN D, et al. A unified cryptoprocessor for lattice-based signature and key-exchange[J]. IEEE Transactions on Computers, 2023, 72(6): 1568–1580. doi: 10.1109/TC.2022.3215064
[14]	DUONG-NGOC P and LEE H. Configurable mixed-radix number theoretic transform architecture for lattice-based cryptography[J]. IEEE Access, 2022, 10: 12732–12741. doi: 10.1109/ACCESS.2022.3145988

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