The week's pick
Random Articles
Reseach Article
An Improved Scalar Multiplication Over GF(2m) for ECC
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 163 - Number 2 |
| Year of Publication: 2017 |
| Authors: S. Revathi, A. R. Rishivarman |
10.5120/ijca2017913469
|
S. Revathi, A. R. Rishivarman . An Improved Scalar Multiplication Over GF(2m) for ECC. International Journal of Computer Applications. 163, 2 ( Apr 2017), 13-17. DOI=10.5120/ijca2017913469
Abstract
Since the introduction of public-key cryptography by Diffe and Hellman in 1976, the potential for the use of the discrete logarithm problem in public-key cryptosystems has been recognized. Although the discrete logarithm problem as first employed by Diffe and Hellman was defined explicitly as the problem of finding logarithms with respect to a generator in the multiplicative group of the integers module a prime, this idea can be extended to arbitrary groups and in particular, to elliptic curve groups. The resulting public – key systems provide relatively small block size, high speed, and high security. This paper identified an efficient performance of concurrent algorithm using complementary recoding over
References
- Blake, I., Seroussi, G., and Smart, N. Press, 1999. “Elliptic Curves in Cryptography, Cambridge University”.
- Buhler, P., Lenstra, H.W., and Pomerance, C. “The development of the number field sieve”, lecture Notes in Computer Science, volume- 1554, Springer-Verlag, 1994.
- W.Diffie and M.E.Hellman. 1976, “New directions in cryptography,” IEEE Trans. On Information Theory, IT-22, (644-654).
- D.M.Gordon, 1998 “A Survey of fast exponention methods,” J. Algorithms, 27, (129-146).
- Han, Y., leong, P., Tan, P., and Zhang, J “Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field,” Advances in Cryptology-CRYPTO 1999. LNCS 1716, (75-85).
- Guajardo, J. and Paar, C. “Efficient Algorithms for Elliptic Curve Cryptosystems,” Advances in Cryptology-CYYPTO 1997.LNCS 1462, (342-356).
- Itoh, T. and Tsujii, S. 1988, “A fast Algorithm for Computing Multiplication inverses in
Index Terms
Keywords