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» Quartic Curves and Their Bitangents
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CORR
2010
Springer
38views Education» more  CORR 2010»
13 years 6 months ago
Quartic Curves and Their Bitangents
Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant
ANTS
2006
Springer
93views Algorithms» more  ANTS 2006»
13 years 11 months ago
Classification of Genus 3 Curves in Special Strata of the Moduli Space
Abstract. We describe the invariants of plane quartic curves -- nonhyperelliptic genus 3 curves in their canonical model -- as determined by Dixmier and Ohno, with application to t...
Martine Girard, David R. Kohel
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...
IEICET
2006
73views more  IEICET 2006»
13 years 7 months ago
A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields
Seigo Arita, Kazuto Matsuo, Koh-ichi Nagao, Mahoro...
ASIACRYPT
2006
Springer
13 years 11 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...