Counting Points on Curves over Finite Fields

Ming-Deh Huang; Doug Ierardi

doi:10.1006/jsco.1997.0164

Counting Points on Curves over Finite Fields

Journal of Symbolic Computation ◽

10.1006/jsco.1997.0164 ◽

1998 ◽

Vol 25 (1) ◽

pp. 1-21 ◽

Cited By ~ 21

Author(s):

Ming-Deh Huang ◽

Doug Ierardi

Keyword(s):

Finite Fields ◽

Curves Over Finite Fields ◽

Counting Points

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Counting points on curves over finite fields

Séminaire Bourbaki vol. 1972/73 Exposés 418–435 - Lecture Notes in Mathematics ◽

10.1007/bfb0057311 ◽

2006 ◽

pp. 234-241 ◽

Cited By ~ 14

Author(s):

Enrico Bombieri

Keyword(s):

Finite Fields ◽

Curves Over Finite Fields ◽

Counting Points

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Counting Points on Elliptic Curves over Finite Fields of Small Characteristic in Quasi Quadratic Time

Lecture Notes in Computer Science - Advances in Cryptology — EUROCRYPT 2003 ◽

10.1007/3-540-39200-9_22 ◽

2003 ◽

pp. 360-373 ◽

Cited By ~ 4

Author(s):

Reynald Lercier ◽

David Lubicz

Keyword(s):

Elliptic Curves ◽

Finite Fields ◽

Curves Over Finite Fields ◽

Counting Points

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Counting Points on Curves over Finite Fields

Codes on Algebraic Curves ◽

10.1007/978-1-4615-4785-3_6 ◽

1999 ◽

pp. 143-172

Author(s):

Serguei A. Stepanov

Keyword(s):

Finite Fields ◽

Curves Over Finite Fields ◽

Counting Points

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AN EFFICIENT SEARCH SPACE IN COUNTING POINTS ON GENUS 3 HYPERELLIPTIC CURVES OVER FINITE FIELDS

Journal of applied mathematics & informatics ◽

10.14317/jami.2015.145 ◽

2015 ◽

Vol 33 (1_2) ◽

pp. 145-155

Author(s):

Gyoyong Sohn

Keyword(s):

Finite Fields ◽

Search Space ◽

Hyperelliptic Curves ◽

Efficient Search ◽

Curves Over Finite Fields ◽

Counting Points

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Explicit bounds of polynomial coefficients and counting points on Picard curves over finite fields

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2008.03.012 ◽

2009 ◽

Vol 49 (1-2) ◽

pp. 80-87

Author(s):

Gyoyong Sohn ◽

Hoil Kim

Keyword(s):

Finite Fields ◽

Polynomial Coefficients ◽

Picard Curves ◽

Curves Over Finite Fields ◽

Explicit Bounds ◽

Counting Points

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Counting points on elliptic curves over finite fields

Journal de Théorie des Nombres de Bordeaux ◽

10.5802/jtnb.142 ◽

1995 ◽

Vol 7 (1) ◽

pp. 219-254 ◽

Cited By ~ 163

Author(s):

René Schoof

Keyword(s):

Elliptic Curves ◽

Finite Fields ◽

Curves Over Finite Fields ◽

Counting Points

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Counting Points on Hyperelliptic Curves over Finite Fields

Lecture Notes in Computer Science - Algorithmic Number Theory ◽

10.1007/10722028_18 ◽

2000 ◽

pp. 313-332 ◽

Cited By ~ 44

Author(s):

Pierrick Gaudry ◽

Robert Harley

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Curves Over Finite Fields ◽

Counting Points

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Counting points on curves over finite fields

Introduction to Coding Theory and Algebraic Geometry ◽

10.1007/978-3-0348-9286-5_13 ◽

1988 ◽

pp. 66-72

Author(s):

Jacobus H. van Lint ◽

Gerard van der Geer

Keyword(s):

Finite Fields ◽

Curves Over Finite Fields ◽

Counting Points

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Algebraic Curves over Finite Fields

10.1017/cbo9780511608766 ◽

1991 ◽

Cited By ~ 54

Author(s):

Carlos Moreno

Keyword(s):

Finite Fields ◽

Algebraic Curves ◽

Curves Over Finite Fields

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Counting plane cubic curves over finite fields with a prescribed number of rational intersection points

European Journal of Mathematics ◽

10.1007/s40879-021-00472-x ◽

2021 ◽

Author(s):

Nathan Kaplan ◽

Vlad Matei

Keyword(s):

Finite Fields ◽

Cubic Curves ◽

Curves Over Finite Fields ◽

Intersection Points

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