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

Gyoyong Sohn

doi:10.14317/jami.2015.145

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 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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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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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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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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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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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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Statistics of the Jacobians of hyperelliptic curves over finite fields

Mathematical Research Letters ◽

10.4310/mrl.2012.v19.n2.a1 ◽

2012 ◽

Vol 19 (2) ◽

pp. 255-272 ◽

Cited By ~ 1

Author(s):

Maosheng Xiong ◽

Alexandru Zaharescu

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Curves Over Finite Fields

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Differential operators and hyperelliptic curves over finite fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2018.02.007 ◽

2018 ◽

Vol 51 ◽

pp. 351-370 ◽

Cited By ~ 1

Author(s):

Iván Blanco-Chacón ◽

Alberto F. Boix ◽

Stiofáin Fordham ◽

Emrah Sercan Yilmaz

Keyword(s):

Finite Fields ◽

Differential Operators ◽

Hyperelliptic Curves ◽

Curves Over Finite Fields

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