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» Arithmetic on superelliptic curves
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PKC
1998
Springer
123views Cryptology» more  PKC 1998»
13 years 11 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
CAGD
2002
98views more  CAGD 2002»
13 years 7 months ago
Comparison of interval methods for plotting algebraic curves
This paper compares the performance and efficiency of different function range interval methods for plotting f(x, y) = 0 on a rectangular region based on a subdivision scheme, whe...
Ralph R. Martin, Huahao Shou, Irina Voiculescu, Ad...
IJNSEC
2010
247views more  IJNSEC 2010»
13 years 2 months ago
Hardware Implementation of Efficient Modified Karatsuba Multiplier Used in Elliptic Curves
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
Sameh M. Shohdy, Ashraf El-Sisi, Nabil A. Ismail
ACISP
2009
Springer
14 years 2 months ago
Jacobi Quartic Curves Revisited
This paper provides new results about efficient arithmetic on (extended) Jacobi quartic form elliptic curves y2 = dx4 + 2ax2
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
MASCOTS
2001
13 years 9 months ago
Performance of Finite Field Arithmetic in an Elliptic Curve Cryptosystem
As the Internet commerce becomes a more important part of the economy, network security is receiving more emphasis. Time spent in data encryption can be a significant performance ...
Zhi Li, John Higgins, Mark J. Clement