Research on design principles of elliptic curve public key cryptography and its implementation

Proceedings - 2012 International Conference on Computer Science and Service System, CSSS 2012

Volumn , Issue , 2012, Pages 1224-1227

  Bai, Qing Hai ^a,b   Zhang, Wen Bo ^a   Jiang, Peng ^a   Lu, Xu ^a  

^a JILIN UNIVERSITY   (China)

^b INNER MONGOLIA UNIVERSITY FOR NATIONALITIES   (China)

Author keywords

Design principles; Elliptic curve; Elliptic curve public key cryptography; Secure elliptic curve

Indexed keywords

DECOMPOSITION PROBLEMS; DESIGN PRINCIPLES; DISCRETE LOGARITHM PROBLEMS; ELLIPTIC CURVE; ELLIPTIC CURVE DISCRETE LOGARITHM PROBLEMS; FINITE FIELDS; HIGH-PERFORMANCE COMPUTING TECHNOLOGY; MATHEMATICAL THEORY; NETWORK BANDWIDTH; PUBLIC KEYS; RSA CRYPTOGRAPHY; SELECTION METHODS;

COMPUTER SCIENCE; MATHEMATICAL TECHNIQUES;

PUBLIC KEY CRYPTOGRAPHY;

EID: 84873838489     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CSSS.2012.310     Document Type: Conference Paper

References (16)

1. Whitfield Diffie and Martin E. Hellman, "New directions in cryptography " [C]., IEEE Transactions on Information Theory 22 (1976), no. 6, 644-654.
2. Miller V. Use of Elliptic Curves in Cryptography. In Cryptology Springer-Verlag, 1986, 417-426.
3. Koblitz N. Elliptic Curve Cryptosystems [J]. Mathematics of computation, 1987, 48 (177):203-209.
4. ZHANG Xiu-ai. Study of Elliptic Curve Cryptography.communications Technology, 2009, 05, 208-209, 2122
5. SU He-eng, ZHANG Sheng-bing. Design and Implementation of an Architecture of Multi-Scalar Multiplication for ECC Based on Binary Edwards Curves. Microelectronics & Computer, 2011, 02, 98-1022
6. BAI Zhong-jian, YANG Hao-miao, ZHANG Wen-ke. Study on Fast Implementation of Prime-field ECC.communications Technology, 2011, 12, 87-89, 922
7. IN Xiao-gang. Software Implementation of Elliptic Curve Cryptosystem over Prime Field.communications Technology, 2010, 09, 136-1388
8. PANG Shi-chun, LIU Shu-fen, CONG Fu-zhong, YAO Zhi-lin. An Efficient Scalar Multiplication Algorithm on Montgomery-Form Elliptic Curve. Acta Electronica Sinica, 2011, 04, 865-8688
9. REN Zhong-gang, ZHAI Dong-hai. Selection of security elliptic curve in finite field GF (q). Information and Electronic Engineering, 2009, 05, 493-4966
10. HOU Ai-qin, XIN Xiao-long, YANG Shi-yong. Secure Elliptic Curve Generating Algorithm over GF (p).computer Engineering, 2009, 23, 138-1400
11. Pollard J, "Monte Carlo methods for index computation (mod p)" [J]., Mathematics of Computation, V6 1. 32, 1978, 918-924.
12. WEI Dong-mei, YANG Tao. Fast implementation of point multiplication over elliptic curve F2 m based on FPGA. Journal of Computer Applications, 2011, 02, 540-5422
13. Yang Ziheng, Zhou Ping, Liu Jia, Ding Qun. Improvement and implementation of the algorithm design of elliptic curve dot product based on GF (2-n). Chinese Journal of Scientific Instrument, 2009, 07, 1546-15511
14. LEI Xian Chao, GAO Xian Wei, LI Fei, ZHANG Gang. FPGA design and implementation of secure elliptic curve point multiplication algorithm over GF (2-m). Application of Electronic Technique, 2010, 10, 47-500
15. REN Zhong-gang, ZHAI Dong-hai. An improved joint spare form algorithm of elliptic curve. Information and Electronic Engineering, 2009, 06, 613-6166
16. JIA Ying-Tao. The research of implementation technology based on elliptic curve cryptosystem and public key cryptography [D]. Master's degree paper, Xiamen University, China, 2007, 23-244