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

Gyoyong Sohn; Hoil Kim

doi:10.1016/j.mcm.2008.03.012

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 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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A note on some Picard curves over finite fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2014.12.002 ◽

2015 ◽

Vol 34 ◽

pp. 107-122

Author(s):

Ahmad Kazemifard ◽

Saeed Tafazolian

Keyword(s):

Finite Fields ◽

Picard Curves ◽

Curves Over Finite Fields

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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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Isomorphism Classes of Picard Curves over Finite Fields

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/s00200-003-0145-1 ◽

2005 ◽

Vol 16 (1) ◽

pp. 33-44 ◽

Cited By ~ 2

Author(s):

Jong Won Lee

Keyword(s):

Finite Fields ◽

Isomorphism Classes ◽

Picard Curves ◽

Curves Over Finite Fields

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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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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 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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