scholarly journals ISOMORPHISM CLASSES OF GENUS-3 POINTED TRIGONAL CURVES OVER FINITE FIELDS OF CHARACTERISTIC 2

2009 ◽  
Vol 46 (5) ◽  
pp. 917-930
Author(s):  
Pyung-Lyun Kang ◽  
Sun-Mi Sun
Keyword(s):  
Finite Fields ◽  
Isomorphism Classes ◽  
Trigonal Curves ◽  
Curves Over Finite Fields ◽  
Characteristic 2

scholarly journals Statistics for Traces of Cyclic Trigonal Curves over Finite Fields

2009 ◽  
Vol 2010 (5) ◽  
pp. 932-967 ◽  
Author(s):  
Alina Bucur ◽  
Chantal David ◽  
Brooke Feigon ◽  
Matilde Lalín
Keyword(s):  
Finite Fields ◽  
Trigonal Curves ◽  
Curves Over Finite Fields

scholarly journals Isomorphism classes of Edwards curves over finite fields

2012 ◽  
Vol 18 (3) ◽  
pp. 597-612 ◽  
Author(s):  
Reza Rezaeian Farashahi ◽  
Dustin Moody ◽  
Hongfeng Wu
Keyword(s):  
Finite Fields ◽  
Isomorphism Classes ◽  
Edwards Curves ◽  
Curves Over Finite Fields

scholarly journals Isomorphism classes of Doche–Icart–Kohel curves over finite fields

2016 ◽  
Vol 39 ◽  
pp. 111-129
Author(s):  
Reza Rezaeian Farashahi ◽  
Mehran Hosseini
Keyword(s):  
Finite Fields ◽  
Isomorphism Classes ◽  
Curves Over Finite Fields

scholarly journals Computing Zeta Functions of Artin–schreier Curves over Finite Fields

2002 ◽  
Vol 5 ◽  
pp. 34-55 ◽  
Author(s):  
Alan G. B. Lauder ◽  
Daqing Wan
Keyword(s):  
Finite Fields ◽  
Hyperelliptic Curve ◽  
Exponential Sums ◽  
Reduction Method ◽  
Zeta Functions ◽  
Polynomial Time Algorithm ◽  
Time Algorithm ◽  
Efficient Reduction ◽  
Curves Over Finite Fields ◽  
Characteristic 2

AbstractThe authors present a practical polynomial-time algorithm for computing the zeta function of certain Artin–Schreier curves over finite fields. This yields a method for computing the order of the Jacobian of an elliptic curve in characteristic 2, and more generally, any hyperelliptic curve in characteristic 2 whose affine equation is of a particular form. The algorithm is based upon an efficient reduction method for the Dwork cohomology of one-variable exponential sums.

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