Generating Genus Two Hyperelliptic Curves over Large Characteristic Finite Fields

Advances in Cryptology - EUROCRYPT 2009 - Lecture Notes in Computer Science ◽

10.1007/978-3-642-01001-9_31 ◽

2009 ◽

pp. 536-553 ◽

Cited By ~ 9

Author(s):

Takakazu Satoh

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Genus Two

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Isomorphism classes of elliptic and hyperelliptic curves over finite fields F(2g+1)n

Finite Fields and Their Applications ◽

10.1016/j.ffa.2003.12.003 ◽

2004 ◽

Vol 10 (4) ◽

pp. 583-614 ◽

Cited By ~ 5

Author(s):

Youngju Choie ◽

Eunkyung Jeong

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Isomorphism Classes ◽

Curves Over Finite Fields ◽

Elliptic And Hyperelliptic Curves

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Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with even characteristic

Acta Mathematica Sinica English Series ◽

10.1007/s10114-010-7186-8 ◽

2010 ◽

Vol 26 (6) ◽

pp. 1019-1054

Author(s):

Huah Chu ◽

Ying Pu Deng ◽

Tse-Chung Yang

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Isomorphism Classes

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Two-torsion in the Jacobian of hyperelliptic curves over finite fields

Archiv der Mathematik ◽

10.1007/pl00000487 ◽

2001 ◽

Vol 77 (3) ◽

pp. 241-246 ◽

Cited By ~ 4

Author(s):

G. Cornelissen

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Curves Over Finite Fields

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Non-hyperelliptic curves of genus three over finite fields of characteristic two

Journal of Number Theory ◽

10.1016/j.jnt.2005.05.014 ◽

2006 ◽

Vol 116 (2) ◽

pp. 443-473 ◽

Cited By ~ 4

Author(s):

Enric Nart ◽

Christophe Ritzenthaler

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Characteristic Two ◽

Curves Of Genus Three

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Explicit Solutions to the mean field equations on hyperelliptic curves of genus two

Differential Geometry and its Applications ◽

10.1016/j.difgeo.2017.08.005 ◽

2018 ◽

Vol 56 ◽

pp. 173-186

Author(s):

Jia-Ming (Frank) Liou

Keyword(s):

Mean Field ◽

Hyperelliptic Curves ◽

Explicit Solutions ◽

Field Equations ◽

Mean Field Equations ◽

The Mean ◽

Genus Two

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Rational Points on Certain Hyperelliptic Curves over Finite Fields

Bulletin of the Polish Academy of Sciences Mathematics ◽

10.4064/ba55-2-1 ◽

2007 ◽

Vol 55 (2) ◽

pp. 97-104 ◽

Cited By ~ 19

Author(s):

Maciej Ulas

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Rational Points ◽

Curves Over Finite Fields

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An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields

Lecture Notes in Computer Science - Algorithmic Number Theory ◽

10.1007/3-540-45455-1_36 ◽

2002 ◽

pp. 461-474 ◽

Cited By ~ 16

Author(s):

Kazuto Matsuo ◽

Jinhui Chao ◽

Shigeo Tsujii

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Point Counting ◽

Giant Step ◽

Curves Over Finite Fields ◽

Step Algorithm

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Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2

Science in China Series A Mathematics ◽

10.1007/s11425-004-0043-4 ◽

2006 ◽

Vol 49 (2) ◽

pp. 173-184 ◽

Cited By ~ 4

Author(s):

Yingpu Deng ◽

Mulan Liu

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Isomorphism Classes ◽

Genus 2 ◽

Characteristic 2

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Supersingular hyperelliptic curves of genus 2 over finite fields

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.03.030 ◽

2005 ◽

Vol 163 (2) ◽

pp. 565-576 ◽

Cited By ~ 4

Author(s):

Young Ju Choie ◽

Eun Kyung Jeong ◽

Eun Jeong Lee

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Genus 2

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Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic

European Journal of Combinatorics ◽

10.1016/j.ejc.2007.06.007 ◽

2008 ◽

Vol 29 (6) ◽

pp. 1436-1448 ◽

Cited By ~ 1

Author(s):

Yingpu Deng ◽

Mulan Liu

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Isomorphism Classes

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