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» Computing in Component Groups of Elliptic Curves
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DCC
2007
IEEE
14 years 7 months ago
Inferring sequences produced by a linear congruential generator on elliptic curves missing high-order bits
Let p be a prime and let E(IFp) be an elliptic curve defined over the finite field IFp of p elements. For a given point G E(IFp) the linear congruential genarator on elliptic curv...
Jaime Gutierrez, Álvar Ibeas
RECONFIG
2008
IEEE
184views VLSI» more  RECONFIG 2008»
14 years 1 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...
WWW
2004
ACM
14 years 8 months ago
Integrating elliptic curve cryptography into the web's security infrastructure
RSA is the most popular public-key cryptosystem on the Web today but long-term trends such as the proliferation of smaller, simpler devices and increasing security needs will make...
Vipul Gupta, Douglas Stebila, Sheueling Chang Shan...
IACR
2011
146views more  IACR 2011»
12 years 7 months ago
Identity-based Digital Signature Scheme Without Bilinear Pairings
: Many identity-based digital signature schemes using bilinear pairings have been proposed. But the relative computation cost of the pairing is approximately twenty times higher th...
Debiao He, Jianhua Chen, Jin Hu
ASIACRYPT
2003
Springer
14 years 18 days ago
On Class Group Computations Using the Number Field Sieve
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
Mark L. Bauer, Safuat Hamdy