Acknowledgement
This research was supported by Kumoh National Institute of Technology (2021)
References
- V. S. Miller, "Use of Elliptic Curves in Cryptography," in Advances in Cryptology-CRYPTO '85 Proceedings, pp. 417-426, New York: NY, USA, 1986.
- Federal Information Processing Standards Publication (FIPS) 186-5 (Draft), Digital Signature Standard (DSS), National Institute of Standards and Technology (NIST), Oct. 2019. DOI: https://doi.org/10.6028/NIST.FIPS.186-5-draft.
- Certicom, Standards for Efficient Cryptography, SEC 2: Recommended Elliptic Curve Domain Parameters, Ceticom, Version 1.0, Sep. 2000.
- H. M. Edwards, "A normal form for elliptic curves," Bulletin of the American Mathematical Society, vol. 44, no. 3, pp. 393-422, Apr. 2007. https://doi.org/10.1090/S0273-0979-07-01153-6
- H. J. Yang and K. W. Shin, "A Public-Key Crypto-Core supporting Edwards Curves of Edwards25519 and Edwards448," Journal of Institute of Korean Electrical and Electronics Engineers, vol. 25, no. 1, pp. 174-179, Mar. 2021.
- A. Loiseau and J. A. Fournier, "Binary Edwards Curves for Intrinsically Secure ECC Implementations for the IoT," in International Conference on Security and Cryptography, pp. 625-631, Porto, Portugal, Jul. 2018.
- D. J. Bernstein, T. Lange, and R. R. Farashahi, "Binary Edwards Curves," in Proceedings of Workshop on Cryptographic Hardware and Embedded Systems (CHES 2008), Washington D.C, USA, vol. 5154, pp. 244-265, 2008.
- B. Rashidi, "Efficient hardware implementations of point multiplication for binary edwards curves," International Journal of Circuit Theory and Applications, vol. 46, no. 8, pp. 1516-1533, Aug. 2018. https://doi.org/10.1002/cta.2498
- B. Rashidi and M. Abedini, "Efficient Lightweight Hardware Structures of Point Multiplication on Binary Edwards Curves for Elliptic Curve Cryptosystems," Journal of Circuits, Systems and Computers, vol. 28, no. 9, pp. 1950149, Aug. 2019. https://doi.org/10.1142/S0218126619501494
- B. Rashidi, "A Survey on Hardware Implementations of Elliptic Curve Cryptosystems," arXiv:1710.08336 [eess.SP], pp. 1-61, Oct. 2017.
- Sang-Hyun Lee, "A Lightweight ECC Processor Supporting Dual Field Elliptic curves of GF(p) and GF(2m)," M. S. theses, Kumoh national Institute of Technology, Korea, Jun. 2019.
- J. Sen, Cryptography and Security in Computing, London: IntechOpen, 2012.
- A. P. Fournaris, C. Dimopoulos, and O. Koufopavlou, "A Design Strategy for Digit Serial Multiplier Based Binary Edwards Curve Scalar Multiplier Architectures," in 2017 Euromicro Conference on Digital System Design (DSD), Vienna, Austria, pp. 221-228, DOI: 10.1109/DSD.2017.82.
- A. P. Fournaris, N. Sklavos, and C. Koulamas. "A High Speed Scalar Multiplier for Binary Edwards Curves," in Proceedings of the Third Workshop on Cryptography and Security in Computing Systems (CS2'16), New York: NY, USA, pp. 41-44, 2016. DOI:https://doi.org/10.1145/2858930.2858938.
- A. Chatterjee and I. Sengupta, "Design of a high performance Binary Edwards Curve based processor secured against side channel analysis," Integration, vol. 45, no. 3, pp. 331-340, Jun. 2012. https://doi.org/10.1016/j.vlsi.2011.11.005