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Abstract: We present a kind of group suitable for cryptographic applications: the trace zero subvariety. The construction is based on Weil descent from curves of genus two over extension fields F p n , n = 3. (Update)
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BibTeX entry: (Update)
T. Lange, Trace-Zero Subvariety for Cryptosystems. Preprint. http://citeseer.ist.psu.edu/lange03trace.html More
@misc{ lange-tracezero,
author = "T. Lange",
title = "Trace-Zero Subvariety for Cryptosystems",
text = "T. Lange, Trace-Zero Subvariety for Cryptosystems. Preprint.",
url = "citeseer.ist.psu.edu/lange03trace.html" }
Citations (may not include all citations):79 Algebraic Function Fields and Codes (context) - Stichtenoth - 1993
78 Hyperelliptic cryptosystems (context) - Koblitz - 1989
68 Computing in the Jacobian of a hyperelliptic curve (context) - Cantor - 1987
55 An Improved Algorithm for Arithmetic on a Family of Elliptic.. (context) - Solinas - 1997
54 Constructive and destructive facets of Weil descent on ellip.. - Gaudry, Hess et al. - 2002
32 An algorithm for solving the discrete log problem on hyperel.. (context) - Gaudry - 2000
23 A Cryptographic Application of Weil Descent (context) - Galbraith, Smart - 1999
17 Supersingular abelian varieties in cryptology (context) - Silverberg, Rubin - 2002
16 An Elementary Introduction to Hyperelliptic Curves (context) - Menezes, Wu et al. - 1998
16 Counting Points on Hyperelliptic Curves using Monsky-Washnit.. (context) - Kedlaya - 2001
16 Faster Point Multiplication on Elliptic Curves with Ecient E.. - Gallant, Lambert et al. - 2001
15 Ecient arithmetic on Koblitz curves (context) - Solinas - 2000
15 How to disguise an elliptic curve (context) - Frey - 1998
15 Applications of arithmetical geometry to cryptographic const.. - Frey - 1999
11 Improving Harley Algorithms for Jacobians of genus 2 Hyperel.. (context) - Takahashi
[Article contains additional citations not shown here]
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