Thiết kế phần cứng xử lý ntt và intt cho mã hóa lượng tử crystals kyber

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Tiêu đề:	CRYSTALS-Kyber: a CCA-secure module-lattice-based KEM

[3] Intel, “Intel® Data Protection Technology with AES-NI and Secure Key”, https://www.intel.com/content/www/us/en/architecture-and-technology/advanced-encryption-standard-aes/data-protection-aes-general-technology.html, Dec. 12, 2021 [4] H. Eberle et al., "A public-key cryptographic processor for RSA and ECC."In Proceedings. 15th IEEE International Conference on Application-Specific Systems, Architectures and Processors, 2004., pp. 98-110. IEEE, 2004

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Tiêu đề:	Intel® Data Protection Technology with AES-NI and Secure Key”, https://www.intel.com/content/www/us/en/architecture-and-technology/advanced-encryption-standard-aes/data-protection-aes-general-technology.html, Dec. 12, 2021 [4] H. Eberle et al., "A public-key cryptographic processor for RSA and ECC

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Tiêu đề:	Full Hardware Implementation of the Post-Quantum Public-Key Cryptography Scheme Round5

[6] Y. Huang et al., "A pure hardware implementation of crystals-kyber PQC algorithm through resource reuse," IEICE Electronics Express, 2020

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Tiêu đề:	A pure hardware implementation of crystals-kyber PQC algorithm through resource reuse

[7] L. Botros, M. J. Kannwischer, and P. Schwabe, "Memory-efficient high-speed implementation of Kyber on Cortex-M4." In International Conference on Cryptology in Africa, pp. 209-228. Springer, Cham, 2019

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Tiêu đề:	Memory-efficient high-speed implementation of Kyber on Cortex-M4

[8] Jati et al., "A Configurable Crystals-Kyber Hardware Implementation with Side- Channel Protection." Cryptology ePrint Archive [Online], 2021/1189, Available:https://eprint.iacr.org/2021/1189

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Tiêu đề:	A Configurable Crystals-Kyber Hardware Implementation with Side-Channel Protection

[9] Y. Zhao et al., "Optimization Space Exploration of Hardware Design for CRYSTALS-KYBER." In 2020 IEEE 29th Asian Test Symposium (ATS), pp. 1-6.IEEE, 2020

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Tiêu đề:	Optimization Space Exploration of Hardware Design for CRYSTALS-KYBER

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Tiêu đề:	Implementing RLWE-based schemes using an RSA co-processor

[11] P. Sanal et al., "Kyber on ARM64: Compact Implementations of Kyber on 64-bit ARM Cortex-A Processors." Cryptology ePrint Archive [Online], 2021/561, Available: https://eprint.iacr.org/2021/561

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Tiêu đề:	Kyber on ARM64: Compact Implementations of Kyber on 64-bit ARM Cortex-A Processors

[12] H. Seo et al., Hwa-jeong, Hyeok-dong Kwon, Kyoung-bae Jang, and Hyunjun Kim, "Optimized implementation of scalable multi-precision multiplication method on RISC-V processor for high-speed computation of post-quantum cryptography."Journal of the Korea Institute of Information Security & Cryptology 31, no. 3, pp.473-480, 2021

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Tiêu đề:	Optimized implementation of scalable multi-precision multiplication method on RISC-V processor for high-speed computation of post-quantum cryptography

[13] Y. Xing, and S. Li, "A compact hardware implementation of CCA-secure key exchange mechanism CRYSTALS-KYBER on FPGA." IACR Transactions on Cryptographic Hardware and Embedded Systems, vol. 2021, pp. 328-356, 2021 [14] W. Guo, S. Li, and L. Kong, "An Efficient Implementation of KYBER." IEEETransactions on Circuits and Systems II: Express Briefs, 2021

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Tiêu đề:	A compact hardware implementation of CCA-secure key exchange mechanism CRYSTALS-KYBER on FPGA." IACR Transactions on Cryptographic Hardware and Embedded Systems, vol. 2021, pp. 328-356, 2021 [14] W. Guo, S. Li, and L. Kong, "An Efficient Implementation of KYBER

[16] F. Yarman, Ferhat, A. C. Mert, E. ệztỹrk, and E. Savaş, "A hardware accelerator for polynomial multiplication operation of CRYSTALS-KYBER PQC scheme." In 2021 Design, Automation & Test in Europe Conference & Exhibition, pp. 1020-1025. IEEE, 2021

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Tiêu đề:	A hardware accelerator for polynomial multiplication operation of CRYSTALS-KYBER PQC scheme

[17] Z. Chen, Y. Ma, T. Chen, J. Lin, and J. Jing, "Towards efficient Kyber on FPGAs: A processor for vector of polynomials." In 2020 25th Asia and South Pacific Design Automation Conference (ASP-DAC), pp. 247-252. IEEE, 2020

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Tiêu đề:	Towards efficient Kyber on FPGAs: A processor for vector of polynomials

[18] Zhang et al., "Towards Efficient Hardware Implementation of NTT for Kyber on FPGAs." In 2021 IEEE International Symposium on Circuits and Systems (ISCAS), pp. 1-5. IEEE, 2021

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Tiêu đề:	Towards Efficient Hardware Implementation of NTT for Kyber on FPGAs

[19] T. Pửppelmann, and T. Gỹneysu, "Towards efficient arithmetic for lattice-based cryptography on reconfigurable hardware." In International conference on cryptology and information security in Latin America, pp. 139-158. Springer, Berlin, Heidelberg, 2012

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Tiêu đề:	Towards efficient arithmetic for lattice-based cryptography on reconfigurable hardware

[20] Linh et al., “Hiện thực và so sánh các thiết kế FFT 2048 điểm xây dựng trên nền tảng FPGA,” Hội Thảo Quốc Gia 2014 về Điện Tử, Truyền Thông, và Công Nghệ Thông Tin (REV-ECIT), Nha Trang, Việt Nam, 2014

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Tiêu đề:	et al.", “Hiện thực và so sánh các thiết kế FFT 2048 điểm xây dựng trên nền tảng FPGA,” "Hội Thảo Quốc Gia 2014 về Điện Tử, Truyền Thông, và Công Nghệ Thông Tin (REV-ECIT)

[21] N. Q. Trương, P. T. Võ, T. Hoàng and H. Lê, “An FPGA-based single-precision floating-point 2048-points FFT implementation based on adaptive angle recoding CORDIC”, Science and Technology Development Journal-Natural Sciences, 2017 [22] B. N. Phạm, H. Nguyễn, “Sử dụng biến đổi nhanh fourier (FFT) nghiên cứu cấu trúcbão và sự phát triển xoáy bão trong sơ đồ ban đầu hóa xoáy động lực”, Tạp chí khoa học biến đổi khí hậu, vol. 6, 2018

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Tiêu đề:

An FPGA-based single-precision floating-point 2048-points FFT implementation based on adaptive angle recoding CORDIC”, "Science and Technology Development Journal-Natural Sciences", 2017 [22] B. N. Phạm, H. Nguyễn, “Sử dụng biến đổi nhanh fourier (FFT) nghiên cứu cấu trúc bão và sự phát triển xoáy bão trong sơ đồ ban đầu hóa xoáy động lực”, "Tạp chí khoa học biến đổi khí hậu

[24] Langlois, and D. Stehlé, "Worst-case to average-case reductions for module lattices." Designs, Codes and Cryptography 75, no. 3, pp. 565-599, 2015

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Tiêu đề:	Worst-case to average-case reductions for module lattices

[25] R. Avanzi et al., "CRYSTALS-Kyber algorithm specifications and supporting documentation." NIST PQC Round 2 [Online], 2017, Available:https://csrc.nist.gov/Projects/post-quantum-cryptography/round-2-submissions [26] Reducible , “The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?”,https://www.youtube.com/watch?v=h7apO7q16V0, Nov. 14 2021

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Tiêu đề:	CRYSTALS-Kyber algorithm specifications and supporting documentation." NIST PQC Round 2 [Online], 2017, Available: https://csrc.nist.gov/Projects/post-quantum-cryptography/round-2-submissions [26] Reducible , “The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever

[27] M. Bisheh-Niasar, R. Azarderakhsh, and M. Mozaffari-Kermani, "A Monolithic Hardware Implementation of Kyber: Comparing Apples to Apples in PQC Candidates." In International Conference on Cryptology and Information Security in Latin America, pp. 108-126. Springer, Cham, 2021

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