scholarly journals Counting Points for Hyperelliptic Curves of Type y 2=x 5+ax over Finite Prime Fields

2004 ◽  
pp. 26-41 ◽  
Author(s):  
Eisaku Furukawa ◽  
Mitsuru Kawazoe ◽  
Tetsuya Takahashi
Keyword(s):  
Hyperelliptic Curves ◽  
Prime Fields ◽  
Counting Points

scholarly journals Improved Complexity Bounds for Counting Points on Hyperelliptic Curves

2018 ◽  
Vol 19 (3) ◽  
pp. 591-621 ◽  
Author(s):  
Simon Abelard ◽  
Pierrick Gaudry ◽  
Pierre-Jean Spaenlehauer
Keyword(s):  
Hyperelliptic Curves ◽  
Complexity Bounds ◽  
Counting Points

scholarly journals Counting points on genus-3 hyperelliptic curves with explicit real multiplication

2019 ◽  
Vol 2 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Simon Abelard ◽  
Pierrick Gaudry ◽  
Pierre-Jean Spaenlehauer
Keyword(s):  
Hyperelliptic Curves ◽  
Real Multiplication ◽  
Counting Points
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