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» Performance of Finite Field Arithmetic in an Elliptic Curve ...
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RECONFIG
2008
IEEE
184views VLSI» more  RECONFIG 2008»
13 years 11 months ago
FPGA Implementation of an Elliptic Curve Cryptosystem over GF(3^m)
This paper describes an efficient arithmetic processor for elliptic curve cryptography. The proposed processor consists of special architectural components, the most important of...
Ilker Yavuz, Siddika Berna Ors Yalcin, Çeti...
ISDA
2006
IEEE
13 years 11 months ago
Efficient Multiplier over Finite Field Represented in Type II Optimal Normal Basis
- Elliptic curve cryptography plays a crucial role in networking and information security area, and modular multiplication arithmetic over finite field is a necessary computation p...
Youbo Wang, Zhiguang Tian, Xinyan Bi, Zhendong Niu
DCC
2000
IEEE
13 years 5 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas
CRYPTO
1991
Springer
150views Cryptology» more  CRYPTO 1991»
13 years 8 months ago
CM-Curves with Good Cryptographic Properties
Our purpose is to describe elliptic curves with complex multiplication which in characteristic 2 have the following useful properties for constructing Diffie-HeUman type cryptosys...
Neal Koblitz
ACISP
2005
Springer
13 years 7 months ago
Redundant Trinomials for Finite Fields of Characteristic 2
Abstract. In this article we introduce redundant trinomials to represent elements of finite fields of characteristic 2. This paper develops applications to cryptography, especial...
Christophe Doche