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TitleAlgorithm-Hardware Co-Design of Split-Radix Discrete Galois Transformation for KyberKEM
Creator
Date Issued2023-10-01
Source PublicationIEEE Transactions on Emerging Topics in Computing
Volume11Issue:4Pages:824-838
AbstractKyberKEM is one of the final round key encapsulation mechanisms in the NIST post-quantum cryptography competition. Number theoretic transform (NTT), as the computing bottleneck of KyberKEM, has been widely studied. Discrete Galois Transformation (DGT) is a variant of NTT that reduces transform length into half but requires more multiplication operations than the latest NTT algorithm in theoretical analysis. This paper proposes the split-radix DGT, a novel DGT variant utilizing the split-radix method, to reduce the computing complexity without compromising the transform length. Specifically, for length-128 polynomial, the split-radix DGT algorithm saves at least 10% multiplication operations compared with the latest NTT algorithm in theoretical analysis. Furthermore, we proposed a unified split-radix DGT processor with the dedicated stream permutation network for KyberKEM and implemented it on the Xilinx Artix-7 FPGA. The processor achieves at least 49.4% faster transformation and 65.3% faster component-wise multiplication, with at most 87% and 32% LUT-NTT area-Time product and LUT-CWM area-Time product, compared with the state-of-The-Art polynomial multipliers in KyberKEM with the same BFU setting on similar platforms. Lastly, we designed a highly efficient KyberKEM architecture using the proposed split-radix DGT processor. The implementation results on Artix-7 FPGA show significant performance improvements over the state-of-The-Art KyberKEM designs.
KeywordDiscrete galois transform FPGA hardware key encapsulation mechanism negative wrapped convolution post-quantum cryptography split-radix
DOI10.1109/TETC.2023.3270971
URLView source
Language英语English
Scopus ID2-s2.0-85159662321
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/11566
CollectionBeijing Normal-Hong Kong Baptist University
Corresponding AuthorChen,Donglong
Affiliation
1.City University of Hong Kong,Department of Electrical Engineering,Kowloon Tong,Hong Kong
2.BNU-HKBU United International College,Faculty of Science and Technology,Guangdong,Zhuhai,519088,China
3.Zhejiang Lab,Zhejiang,Hangzhou,311121,China
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Li,Guangyan,Chen,Donglong,Mao,Gaoyuet al. Algorithm-Hardware Co-Design of Split-Radix Discrete Galois Transformation for KyberKEM[J]. IEEE Transactions on Emerging Topics in Computing, 2023, 11(4): 824-838.
APA Li,Guangyan, Chen,Donglong, Mao,Gaoyu, Dai,Wangchen, Sanka,Abdurrashid Ibrahim, & Cheung,Ray C.C. (2023). Algorithm-Hardware Co-Design of Split-Radix Discrete Galois Transformation for KyberKEM. IEEE Transactions on Emerging Topics in Computing, 11(4), 824-838.
MLA Li,Guangyan,et al."Algorithm-Hardware Co-Design of Split-Radix Discrete Galois Transformation for KyberKEM". IEEE Transactions on Emerging Topics in Computing 11.4(2023): 824-838.
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