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JUCS
2008
140views more  JUCS 2008»
13 years 7 months ago
Parallel Formulations of Scalar Multiplication on Koblitz Curves
We present an algorithm that by using the and -1 Frobenius operators concurrently allows us to obtain a parallelized version of the classical -and-add scalar multiplication algor...
Omran Ahmadi, Darrel Hankerson, Francisco Rodr&iac...
ISCAS
2002
IEEE
112views Hardware» more  ISCAS 2002»
14 years 9 days ago
Tradeoff analysis of FPGA based elliptic curve cryptography
FPGAs are an attractive platform for elliptic curve cryptography hardware. Since field multiplication is the most critical operation in elliptic curve cryptography, we have studi...
Marcus Bednara, M. Daldrup, Jürgen Teich, Joa...
PKC
2004
Springer
151views Cryptology» more  PKC 2004»
14 years 22 days ago
On the Optimal Parameter Choice for Elliptic Curve Cryptosystems Using Isogeny
The isogeny for elliptic curve cryptosystems was initially used for the efficient improvement of order counting methods. Recently, Smart proposed the countermeasure using isogeny f...
Toru Akishita, Tsuyoshi Takagi
ACISP
2007
Springer
13 years 11 months ago
Affine Precomputation with Sole Inversion in Elliptic Curve Cryptography
This paper presents a new approach to precompute all odd points [3]P, [5]P, . . . , [2k - 1]P, k 2 on an elliptic curve over Fp. Those points are required for the efficient evalua...
Erik Dahmen, Katsuyuki Okeya, Daniel Schepers
CARDIS
2000
Springer
124views Hardware» more  CARDIS 2000»
13 years 11 months ago
Elliptic Curve Cryptography on Smart Cards without Coprocessors
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Adam D. Woodbury, Daniel V. Bailey, Christof Paar