Improved algorithms for elliptic curve arithmetic in GF(2n)

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1556, Issue , 1999, Pages 201-212

  López, Julio ^a   Dahab, Ricardo ^b  

^a UNIVERSIDAD DEL VALLE   (Colombia)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CRYPTOGRAPHY;

EFFICIENT IMPLEMENTATION; ELLIPTIC CURVE; ELLIPTIC CURVE ARITHMETIC; ELLIPTIC CURVE CRYPTOSYSTEMS; RUNNING TIME; SCALAR MULTIPLICATION;

GEOMETRY;

EID: 84949224514     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-48892-8_16     Document Type: Conference Paper

References (9)

1. W. Diffie and M. Hellman, "New Directions in Cryptography," IEEE Transactions in Informations Theory, IT-22:644-654, November 1976.
2. J. Guajardo and C. Paar, "Efficient Algorithms for Elliptic Curve Cryptosystems," Advances in Cryptology, Proc. Crypto'97, LNCS 1294, B. Kaliski, Ed., Springer- Verlag,1997,pp. 342-356.
3. K Koyama and Y. Tsuruoka, "Speeding up elliptic cryptosystems by using a signed binary window method," Advances in Cryptology, Proc. Crypto'92, LNCS 740, E. Brickell, Ed., Springer-Verlag, 1993, pp. 345-357.
4. A. Menezes, Elliptic curve public key cryptosystems, Kluwer Academic Publishers, 1993.
5. IEEE P1363: Editorial Contribution to Standard for Public Key Cryptography, February 9, 1998.
6. R. Schroeppel, H. Orman, S. O'Malley and O. Spatscheck, "Fast key exchange with elliptic curve systems," Advances in Cryptology, Proc. Crypto'95, LNCS 963, D. Coppersmith, Ed., Springer-Verlag, 1995, pp. 43-56.
7. n)," preprint, March 6, 1998.
8. J. Solinas, "An improved algorithm for arithmetic on a family of elliptic curves," Advances in Cryptology, Proc. Crypto'97, LNCS 1294, B. Kaliski, Ed., SpringVerlag, 1997, pp. 357-371.
9. n)," Advances in Cryptology, Proc. Asiacrypt'96, LNCS 1163, K. Kim and T. Matsumoto, Eds., Springer-Verlag, 1996, pp. 65-76.