1 |
M. Shieh and W. Lin, "Word-Based Montgomery Modular Multiplication Algorithm for Low-Latency Scalable Architectures," in IEEE Transactions on Computers, vol.59, no.8, pp.1145-1151, 2010. DOI: 10.1109/TC.2010.72
DOI
|
2 |
N. Koblitz, "Elliptic curve cryptosystems," Mathematics of Computation, vol.48, no.177, pp.203-209, 1987.
DOI
|
3 |
S. Sugiyama, H. Awano and M. Ikeda, "Low Latency 256-bit Fp ECDSA Signature Generation Crypto Processor," IEICE Transaction on Fundamentals, vol.E101-A, no.12, pp.2290-2296, 2018. DOI: 10.1587/transfun.E101.A.2290
DOI
|
4 |
M. Knezevic, V. Nikov, and P. Rombouts, "Low-latency ECDSA signature verification-A road toward safer traffic," IEEE Transaction on Very Large Scale Integration (VLSI) Systems, vol.24, no.11, pp.3257-3267, 2016. DOI: 10.1109/TVLSI.2016.2557965
DOI
|
5 |
D. S. Kim and K. Y. Shin, "Montgomery Multiplier supporting Dual-Field Modular Multiplication," Journal of the Korea Institute of Information and Communication Engineering, vol.24, no.6, pp.736-743, 2020. DOI: 10.6109/jkiice.2020.24.6.736
DOI
|
6 |
M. Amine, E. M. Nadia, L. Ronan, J. B. Rigaud, B. Belgacem, M. Sihem and M. Mohsen, "A Scalable and Systolic Architectures of Montgomery Modular Multiplication for Public Key Cryptosystems Based on DSPs," Journal of Hardware and Systems Security, vol.1, issue3, pp.219-236, 2017. DOI: 10.1007/s41635-017-0018-x.
DOI
|
7 |
S. Kuang, C. Liang and C. Chen, "An Efficient Radix-4 Scalable Architecture for Montgomery Modular Multiplication," in IEEE Transactions on Circuits and Systems II: Express Briefs, vol.63, no.6, pp.568-572, 2016. DOI: 10.1109/TCSII.2016.2530801
DOI
|
8 |
Certicom, Standards for Efficient Cryptography, SEC 2: Recommended Elliptic Curve Domain Parameters, Version 1.0, 2000.
|
9 |
P. L. Montgomery, "Modular multiplication without trial division," Math. of Computation, vol.44, no.170, pp.519-521, 1985.
DOI
|
10 |
A. F. Tenca and C. K. Koc, "A Scalable Architecture for Montgomery Multiplication," International Workshop on Cryptographic Hardware and Embedded Systems, Springer, Heidelberg, vol.1717, pp.94-108, 1999.
DOI
|
11 |
ITS Committee, "IEEE standard for wireless access in vehicular environments-security services for applications and management messages," IEEE Vehicular Technology Society, Vol.1609, No.2, 2013. DOI: 10.1109/IEEESTD.2016.7426684
DOI
|
12 |
M. Selim Hossain and Y. Kong, "FPGA-based efficient modular multiplication for Elliptic Curve Cryptography," 2015 International Telecommunication Networks and Applications Conference (ITNAC), Sydney, NSW, pp.191-195, 2015, DOI: 10.1109/ATNAC.2015.7366811.
DOI
|
13 |
B. Zhang, Z. Cheng and M. Pedram, "High-Radix Design of a Scalable Montgomery Modular Multiplier with Low Latency," IEEE Transactions on Computers, Accepted for publication, 2021. DOI: 10.1109/TC.2021.3052999.
DOI
|
14 |
K. Javeed, X. Wang and M. Scott, "Serial and parallel interleaved modular multipliers on FPGA platform," 2015 25th International Conference on Field Programmable Logic and Applications (FPL), London, pp.1-4, 2015. DOI: 10.1109/FPL.2015.7293986.
DOI
|
15 |
K. Safiullah, J. Khalid and S. Y. Ali, "High-speed FPGA implementation of full-word Montgomery multiplier for ECC applications," Microprocessor and Microsystems, vol.62, pp.91-101, 2018. DOI: 10.1016/j.micpro.2018.07.005.
DOI
|
16 |
J. B. Choi, "A Scalable ECC Processor Supporting Prime Field Elliptic Curves," Master Thesis, Kumoh National Institute of Technology, 2021.
|