Open Access

Point Compression and Coordinate Recovery for Edwards Curves over Finite Field


Cite

[1] Benjamin Justus and Daniel Loebenberger, Differential Addition in Generalized Edwards Coordinates, IWSEC, 2010, 316-32510.1007/978-3-642-16825-3_21Search in Google Scholar

[2] Alina Dudeanu and George-Razvan Oancea and Sorin Iftene, An x- Coordinate Point Compression Method for Elliptic Curves over Fp, SYNASC, 2010, 65-7110.1109/SYNASC.2010.23Search in Google Scholar

[3] Majid Khabbazian and T. Aaron Gulliver and Vijay K. Bhargava, Double Point Compression with Applications to Speeding Up Random Point Multiplication, IEEE Trans. Computers, 56 (3), (2007), 305-31310.1109/TC.2007.47Search in Google Scholar

[4] IEEE 1363-2000: Standard Specification For Public Key Cryptorgraphy, American National Standards Institute, IEEE Computer Society, 2000.Search in Google Scholar

[5] Daniel J. Bernstein and Peter Birkner and Tanja Lange and Christiane Peters, ECM using Edwards curves, Math. Comput., 82 (282), (2013)10.1090/S0025-5718-2012-02633-0Search in Google Scholar

[6] Torbjörn Granlund and the GMP development team, GMP-5.0.5, 2012.Search in Google Scholar

[7] Daniel J. Bernstein and Tien-Ren Chen and Chen-Mou Cheng and Tanja Lange and Bo-Yin Yang, ECM on Graphics Cards, EUROCRYPT, 2009, 483-50110.1007/978-3-642-01001-9_28Search in Google Scholar

[8] Paul Zimmermann and Bruce Dodson, 20 Years of ECM, ANTS, 2006, 525-54210.1007/11792086_37Search in Google Scholar

[9] Katsuyuki Okeya and Kouichi Sakurai, Effcient Elliptic Curve Cryptosys- tems from a Scalar Multiplication Algorithm with Recovery of the y-Coordinate on a Montgomery-Form Elliptic Curve, CHES, Vol. Generators, 2001, 126-14110.1007/3-540-44709-1_12Search in Google Scholar

[10] Eric Brier and Marc Joye, Weierstra Elliptic Curves and Side-Channel Attacks, Public Key Cryptography, 2002, 335-34510.1007/3-540-45664-3_24Search in Google Scholar

[11] Eric Bach and Jeffrey Shallit, Algorithmic Number Theory, MIT Press, 1, 1996Search in Google Scholar

[12] Wouter Castryck and Steven D. Galbraith and Reza Rezaeian Farashahi, Efficient arithmetic on elliptic curves using a mixed Edwards-Montgomery representation, IACR Cryptology ePrint Archive, 2008, (2008), 218 Search in Google Scholar

eISSN:
1841-3307
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics