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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Nonsingular plane cubic curves over finite fields

Journal of Combinatorial Theory Series A ◽

10.1016/0097-3165(87)90003-3 ◽

1987 ◽

Vol 46 (2) ◽

pp. 183-211 ◽

Author(s):

René Schoof

Keyword(s):

Finite Fields ◽

Cubic Curves ◽

Curves Over Finite Fields

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Cubic Curves over Finite Fields

Rational Points on Elliptic Curves - Undergraduate Texts in Mathematics ◽

10.1007/978-1-4757-4252-7_5 ◽

1992 ◽

pp. 107-144

Author(s):

Joseph H. Silverman ◽

John Tate

Keyword(s):

Finite Fields ◽

Cubic Curves ◽

Curves Over Finite Fields

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Cubic Curves over Finite Fields

Rational Points on Elliptic Curves - Undergraduate Texts in Mathematics ◽

10.1007/978-3-319-18588-0_4 ◽

2015 ◽

pp. 117-166

Author(s):

Joseph H. Silverman ◽

John T. Tate

Keyword(s):

Finite Fields ◽

Cubic Curves ◽

Curves Over Finite Fields

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On the completeness of plane cubic curves over finite fields

Designs Codes and Cryptography ◽

10.1007/s10623-016-0215-6 ◽

2016 ◽

Vol 83 (2) ◽

pp. 233-267

Author(s):

Daniele Bartoli ◽

Stefano Marcugini ◽

Fernanda Pambianco

Keyword(s):

Finite Fields ◽

Cubic Curves ◽

Curves Over Finite Fields

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Algebraic Curves over Finite Fields

10.1017/cbo9780511608766 ◽

1991 ◽

Author(s):

Carlos Moreno

Keyword(s):

Finite Fields ◽

Algebraic Curves ◽

Curves Over Finite Fields

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Permutations polynomials of the form G(X)k − L(X) and curves over finite fields

Cryptography and Communications ◽

10.1007/s12095-020-00465-9 ◽

2021 ◽

Author(s):

Nurdagül Anbar ◽

Canan Kaşıkcı

Keyword(s):

Finite Fields ◽

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 ◽

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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Elliptic Curves over Finite Fields

Elliptic Curves - Graduate Texts in Mathematics ◽

10.1007/978-1-4757-5119-2_14 ◽

1987 ◽

pp. 242-261

Author(s):

Dale Husemöller

Keyword(s):

Elliptic Curves ◽

Finite Fields ◽

Curves Over Finite Fields

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Primes in short intervals on curves over finite fields

Mathematische Annalen ◽

10.1007/s00208-018-1764-y ◽

2018 ◽

Vol 374 (1-2) ◽

pp. 447-474 ◽

Author(s):

Efrat Bank ◽

Tyler Foster

Keyword(s):

Finite Fields ◽

Short Intervals ◽

Curves Over Finite Fields

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Curves over Finite Fields Attaining the Hasse-Weil Upper Bound

European Congress of Mathematics ◽

10.1007/978-3-0348-8266-8_15 ◽

2001 ◽

pp. 199-205 ◽

Author(s):

Arnaldo Garcia

Keyword(s):

Finite Fields ◽

Upper Bound ◽

Curves Over Finite Fields

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