An algorithm to select a secure twisted elliptic curve in cryptography

Tóm tắt

Lượt tải theo tháng

Cách trích dẫn

Dinh Tien Thanh, Nguyen Quoc Toan, Nguyen Van Son, Nguyen Van Duan (2022). An algorithm to select a secure twisted elliptic curve in cryptography. Tạp chí Khoa học và Công nghệ trong lĩnh vực An toàn thông tin, 1(15), 17-25. https://doi.org/10.54654/isj.v1i15.832

Tài liệu tham khảo

1. 1.Dinh Quoc Tien, Do Dai Chi, “Về tấn công gây lỗi trên hệ mật đường cong elliptic dựa vào đường cong xoắn", Journal Journal of Science and Technology on Information security, No 2. 2016.
2. 2.Accredited Standards Committee X9. "American National Standard X9.62-2005, Public key cryptography for the financial services industry: the elliptic curve digital signature algorithm (ECDSA)." 2005
3. 3.B. Black, J. Bos, C. Costello, P. Longa, M. Naehrig, “Elliptic Curve Cryptography (ECC) Nothing Up My Sleeve (NUMS) Curves and Curve Generation”, https://datatracker.ietf.org/doc/html/draft-blacknumscurves-02
4. 4.Certicom Research. " SEC 1: Elliptic Curve Cryptography, Version 2.0." May 21, 2009.
5. 5.Certicom Research, “SEC 2: Recommended Elliptic Curve Domain Parameters”, 2010.
6. 6.Daniel J. Bernstein, Tanja Lange, And Peter Schwabe, “On the correct use of the negation map in the Pollard rho method” , https://eprint.iacr.org/2011/003.pdf
7. 7.Diego F. Aranha, Paulo S. L. M. Barreto, Geovandro C. C. F. Pereira, And Jefferson E. Ricardini, “A note on high-security generalpurpose elliptic curves”, 2013, https://eprint.iacr.org/2013/647.pdf
8. 8.ECC Brainpool, “ECC Brainpool Standard Curves and Curve Generation”, 2010.
9. 9.Hoheisel, G., Primzahlprobleme in der Analysis. Sitz. Preuss. Akad. Wiss. 33 (1930), 580—588.
10. 10.P.-A. Fouque, R. Lercier, D. Réal and F. Valette, “Fault attack on elliptic curve Montgomery ladder implementation, Fault Diagnosis and Tolerance in Cryptography”, 2008. FDTC'08. 5th Workshop on, IEEE,, 2008.
11. 11.RFC 7836, “Guidelines on the Cryptographic Algorithms to Accompany the Usage of Standards GOST R 34.10-2012 and GOST R 34.11-2012”, https://datatracker.ietf.org/doc/rfc7836/
12. 12.Roberto M. Avanzi, Henri Cohen, Christophe Doche, Gerhard Frey, Tanja Lange, Kim Nguyen, Frederik Vercauteren, “Handbook of Elliptic and Hyperelliptic Curve Cryptography”, 2005.
13. 13.U.S. Department of Commerce/National Institute of Standards and Technology, “Recommendations for Discrete LogarithmBased Cryptography: Elliptic Curve Domain Parameters”, FIPS-186-6 (draft) 2019.
14. 14.https://safecurves.cr.yp.to/
15. 15.Miracl, Miracl Cryptographic SDK, https://github.com/miracl/MIRACL, Accessed on 10/9/2020
16. 16.B. Buhrow. (2010) yafu. Available: http://sourceforge.net/projects/yafu/
17. 17.Edlyn Teske (2000), “On Random Walks for Pollard’s Rho Method”, Mathematichs of Computation, Vol. 70, No. 234, pp. 809-825.

Bài viết liên quan

• Các ma trận MDS truy hồi hiệu quả cho thực thi từ mã Reed-Solomon và phép lũy thừa trực tiếp
• An algorithm to select a secure twisted elliptic curve in cryptography
• Building Elliptic Curve Cryptography With Public Key To Encrypt Vietnamese Text
• A new approach to improving web application firewall performance based on support vector machine method with analysis of Http request
• An Efficient Solution for Privacy-preserving Naïve Bayes Classification in Fully Distributed Data Model
• Static Feature Selection for IoT Malware Detection