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Arithmetic geometry : computation and applications: 16th International Conference, Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathematiques, Marseille, France

Aubry, Yves

2019

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Lower bounds on the lengths of double-base representations

Proceedings of the American Mathematical Society, 2011-10, Vol.139 (10), p.3423-3430

2011

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Lower bounds on the maximal number of rational points on curves over finite fields

Mathematical proceedings of the Cambridge Philosophical Society, 2024-01, Vol.176 (1), p.213-238

2024

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Every positive integer is the order of an ordinary abelian variety over F2

Research in number theory, 2021, Vol.7 (4)

2021

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Large torsion subgroups of split Jacobians of curves of genus two or three

Forum mathematicum, 2000-02, Vol.12 (3), p.315-364

2000

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Genus bounds for curves with fixed Frobenius eigenvalues

Proceedings of the American Mathematical Society, 2014-01, Vol.142 (1), p.71-84

2014

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JACOBIANS IN ISOGENY CLASSES OF ABELIAN SURFACES OVER FINITE FIELDS

Annales de l'Institut Fourier, 2009, Vol.59 (1), p.239-289

2009

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The maximum number of points on a curve of genus eight over the field of four elements

Journal of number theory, 2021-03, Vol.220, p.320-329

Howe, Everett W.

2021

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Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA, February 2016

1st ed. 2017 edition., 2017

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Variations in the distribution of principally polarized abelian varieties among isogeny classes

Annales Henri Lebesgue, 2022-07, Vol.5, p.677-702

Howe, Everett W.

2022

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Higher-order Carmichael numbers

Mathematics of computation, 2000-10, Vol.69 (232), p.1711-1719

Howe, Everett W.

2000

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Curves of medium genus with many points

Finite fields and their applications, 2017-09, Vol.47, p.145-160

Howe, Everett W.

2017

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Optimal quotients and surjections of Mordell–Weil groups

Journal of number theory, 2016-09, Vol.166, p.85-92

Howe, Everett W.

2016

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Every positive integer is the order of an ordinary abelian variety over $${{\mathbb {F}}}_2

Research in number theory, 2021-12, Vol.7 (4), Article 59

2021

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Genus‐2 Jacobians with torsion points of large order

The Bulletin of the London Mathematical Society, 2015-02, Vol.47 (1), p.127-135

Howe, Everett W.

2015

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Refinements of Katz–Sarnak theory for the number of points on curves over finite fields

Canadian journal of mathematics, 2024-01, p.1-26

2024

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On the non-existence of certain curves of genus two

Compositio mathematica, 2004-05, Vol.140 (3), p.581-592

Howe, Everett W.

2004

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Algorithms to enumerate superspecial Howe curves of genus 4

Open book series (Berkeley, Calif.), 2020-12, Vol.4 (1), p.301-316

2020

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Split abelian surfaces over finite fields and reductions of genus-2 curves

Algebra & Number Theory, 2017-01, Vol.11 (1), p.39-76

2017

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Locally Recoverable Codes from Algebraic Curves and Surfaces

Algebraic Geometry for Coding Theory and Cryptography, 2017, Vol.9, p.95-127

2017

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Arithmetic Geometry

1, 2019

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Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian

Proceedings of the American Mathematical Society, 2001-06, Vol.129 (6), p.1647-1657

Howe, Everett W.

2001

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Curves of every genus with many points, II: Asymptotically good families

Duke mathematical journal, 2004-04, Vol.122 (2), p.399-422

2004

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Arithmetic geometry: computation and applications : 16th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathematiques, Marseille, France

2019

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Genus-2 curves and Jacobians with a given number of points

LMS journal of computation and mathematics, 2015-01, Vol.18 (1), p.170-197

2015

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Arithmetic geometry : computation and applications: 16th International Conference, Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathematiques, Marseille, France

Lower bounds on the lengths of double-base representations

Lower bounds on the maximal number of rational points on curves over finite fields

Every positive integer is the order of an ordinary abelian variety over F2

Large torsion subgroups of split Jacobians of curves of genus two or three

Genus bounds for curves with fixed Frobenius eigenvalues

JACOBIANS IN ISOGENY CLASSES OF ABELIAN SURFACES OVER FINITE FIELDS

The maximum number of points on a curve of genus eight over the field of four elements

Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA, February 2016

Variations in the distribution of principally polarized abelian varieties among isogeny classes

Higher-order Carmichael numbers

Curves of medium genus with many points

Optimal quotients and surjections of Mordell–Weil groups

Every positive integer is the order of an ordinary abelian variety over $${{\mathbb {F}}}_2

Genus‐2 Jacobians with torsion points of large order

Refinements of Katz–Sarnak theory for the number of points on curves over finite fields

On the non-existence of certain curves of genus two

Algorithms to enumerate superspecial Howe curves of genus 4

Split abelian surfaces over finite fields and reductions of genus-2 curves

Locally Recoverable Codes from Algebraic Curves and Surfaces

Arithmetic Geometry

Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian

Curves of every genus with many points, II: Asymptotically good families

Arithmetic geometry: computation and applications : 16th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathematiques, Marseille, France

Genus-2 curves and Jacobians with a given number of points

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