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» Quartic Curves and Their Bitangents
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CORR
2010
Springer
38views Education» more  CORR 2010»
13 years 3 months ago
Quartic Curves and Their Bitangents
Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant
ANTS
2006
Springer
93views Algorithms» more  ANTS 2006»
13 years 9 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
13 years 12 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 5 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 9 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...