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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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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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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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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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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Recovering zeroes of hyperelliptic curves over finite fields

ACM Communications in Computer Algebra ◽

10.1145/2815111.2815140 ◽

2015 ◽

Vol 49 (2) ◽

pp. 58-58

Author(s):

J. Gutierrez

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Curves Over Finite Fields

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A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields

Lecture Notes in Computer Science - Algorithmic Number Theory ◽

10.1007/3-540-58691-1_39 ◽

1994 ◽

pp. 28-40 ◽

Cited By ~ 60

Author(s):

Leonard M. Adleman ◽

Jonathan DeMarrais ◽

Ming-Deh Huang

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Discrete Logarithms ◽

Subexponential Algorithm ◽

Large Genus ◽

Curves Over Finite Fields

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Encoding Points on Hyperelliptic Curves over Finite Fields in Deterministic Polynomial Time

Lecture Notes in Computer Science - Pairing-Based Cryptography - Pairing 2010 ◽

10.1007/978-3-642-17455-1_18 ◽

2010 ◽

pp. 278-297 ◽

Cited By ~ 9

Author(s):

Jean-Gabriel Kammerer ◽

Reynald Lercier ◽

Guénaël Renault

Keyword(s):

Finite Fields ◽

Polynomial Time ◽

Hyperelliptic Curves ◽

Curves Over Finite Fields

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Isomorphism Classes of Genus-2 Hyperelliptic Curves Over Finite Fields

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/s002000100092 ◽

2002 ◽

Vol 13 (1) ◽

pp. 57-65 ◽

Cited By ~ 13

Author(s):

L. Hernández Encinas ◽

Alfred J. Menezes ◽

J. Muñoz Masqué

Keyword(s):

Finite Fields ◽

Hyperelliptic Curves ◽

Isomorphism Classes ◽

Genus 2 ◽

Curves Over Finite Fields

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