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Linear Differential Equations, Differential Galois Groups, First Integrals of Differential Systems

Delphine Boucher , Jacques-Arthur Weil
École thématique. Journées nationales de calcul formel, Luminy, France. 2007
Lectures hal-04117227v1

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

Jonas Bergström , Everett W. Howe , Elisa Lorenzo García , Christophe Ritzenthaler
Preprints, Working Papers, ... hal-04062150v1
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Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud

Sudhir R. Ghorpade , Christophe Ritzenthaler , François Rodier , Michael A. Tsfasman
17 th international Arithmetic, Geometry, Cryptography and Coding Theory 2019, Jun 2019, Marseille-Luminy, France
Conference papers hal-02554712v1
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Finite field arithmetic in large characteristic for classical and post-quantum cryptography

Sylvain Duquesne
WAIFI, 2022, Chengdu, China. pp.79-106, ⟨10.1007/978-3-031-22944-2_5⟩
Conference papers hal-03933761v1

Contributions to the study of the number of rational points on curves over finite fields

Ivan Pogildiakov
Number Theory [math.NT]. Université de Rennes 1, 2022. English. ⟨NNT : ⟩
Theses tel-03933518v1
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Counter-examples to the Hasse principle among the twists of the Klein quartic

Elisa Lorenzo García , Michaël Vullers
Preprints, Working Papers, ... hal-03915159v1
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Produits polarisés de courbes elliptiques à multiplication complexe et applications aux courbes de petit genre

Fabien Narbonne
Géométrie algébrique [math.AG]. Université Rennes 1, 2022. Français. ⟨NNT : 2022REN1S049⟩
Theses tel-03908254v1
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A note on the duality of skew module codes

D Boucher
WCC 2022: The Twelfth International Workshop on Coding and Cryptography, Mar 2002, Rostock, Germany
Conference papers hal-03903929v1
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A Gröbner basis approach to m-dimensional skew (consta-) cyclic codes

Willi Geiselmann , Félix Ulmer
Preprints, Working Papers, ... hal-03895118v1

Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields

Elena Berardini , Jade Nardi
Acta Arithmetica, 2022, 205 (4), pp.323-340. ⟨10.4064/aa211118-12-9⟩
Journal articles hal-03889512v1
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Interactive Oracle Proofs of Proximity to Algebraic Geometry Codes

Sarah Bordage , Mathieu Lhotel , Jade Nardi , Hugues Randriam
CCC 2022 - 37th Computational Complexity Conference, Jul 2022, Philadelphie, United States. pp.30:1--30:45, ⟨10.4230/LIPIcs.CCC.2022.30⟩
Conference papers hal-03832439v1

Théorie des groupes : cours et exercices

Félix Ulmer
Ellipses, 185 p., 2012, Référence Sciences, Paul de Laboulaye, 978-2-7298-76319
Books hal-03768551v1
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Fast change of level and applications to isogenies

David Lubicz , Damien Robert
ANTS 2022 - Fifteenth Algorithmic Number Theory Symposium, Aug 2022, Bristol, United Kingdom. pp.article n°7, ⟨10.1007/s40993-022-00407-9⟩
Conference papers hal-03738315v1

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

Jonas Bergström , Everett W. Howe , Elisa Lorenzo García , Christophe Ritzenthaler
Preprints, Working Papers, ... hal-03685062v1

On different expressions for invariants of hyperelliptic curves of genus 3

Elisa Lorenzo García
Journal of the Mathematical Society of Japan, 2022, 74 (2), pp.403-426. ⟨10.2969/jmsj/83418341⟩
Journal articles hal-03672000v1
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Problème du logarithme discret sur des courbes elliptiques

Andy Russon
Géométrie algébrique [math.AG]. Université Rennes 1, 2022. Français. ⟨NNT : 2022REN1S005⟩
Theses tel-03663532v1

On smooth plane models for modular curves of Shimura type

Samuele Anni , Eran Assaf , Elisa Lorenzo García
Research in Number Theory, 2023, 9 (2), pp.article n°21. ⟨10.1007/s40993-022-00409-7⟩
Journal articles hal-03609786v1
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Conception de courbes elliptiques et applications

Rémi Clarisse
Cryptographie et sécurité [cs.CR]. Université Rennes 1, 2021. Français. ⟨NNT : 2021REN1S080⟩
Theses tel-03506116v3
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Efficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields

Elie Eid
Journal of Symbolic Computation, 2023, 117, pp.68 - 100. ⟨10.1016/j.jsc.2022.10.006⟩
Journal articles hal-03588288v1
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Study and design of new encryption primitives based on rank metric error correcting codes

Ba Duc Pham
Cryptography and Security [cs.CR]. Université Rennes 1, 2021. English. ⟨NNT : 2021REN1S072⟩
Theses tel-03551502v1
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An analysis of Coggia-Couvreur Attack on Loidreau's Rank-metric public-key encryption scheme in the general case

Pierre Loidreau , Ba-Duc Pham
Preprints, Working Papers, ... hal-03514106v1
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On the decoding of the sum of Gabidulin codes

Pierre Loidreau , Pham Ba Duc
ISIT 2021 - International Symposium on information theory, Jul 2022, Melbourne, Australia. ⟨10.1109/ISIT45174.2021.9517869⟩
Conference papers hal-03514087v1

Optimal anticodes, MSRD codes, and generalized weights in the sum-rank metric

Elisa Lorenzo García , Eduardo Camps Moreno , Elisa Gorla , Cristina Landolina , Elisa Lorenzo García et al.
IEEE Transactions on Information Theory, 2022, 68 (Issue: 6), pp.3806 - 3822
Journal articles hal-03505675v1
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Differential Fault Attack on Montgomery Ladder and in the Presence of Scalar Randomization

Andy Russon
Progress in Cryptology – INDOCRYPT 2021, 13143, Springer International Publishing, pp.287-310, 2021, Lecture Notes in Computer Science, ⟨10.1007/978-3-030-92518-5_14⟩
Book sections hal-03476351v1
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Efficient multivariate low-degree tests via interactive oracle proofs of proximity for polynomial codes

Daniel Augot , Sarah Bordage , Jade Nardi
Designs, Codes and Cryptography, 2022, ⟨10.1007/s10623-022-01134-z⟩
Journal articles hal-03454113v1
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Threat for the Secure Remote Password Protocol and a Leak in Apple’s Cryptographic Library

Andy Russon
Kazue Sako; Nils Ole Tippenhauer. Applied Cryptography and Network Security, 12727, Springer International Publishing, pp.49-75, 2021, Lecture Notes in Computer Science, 978-3-030-78374-7. ⟨10.1007/978-3-030-78375-4_3⟩
Book sections hal-03377105v1
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Combinatorics of Serre weights in the potentially Barsotti-Tate setting

Xavier Caruso , Agnès David , Ariane Mézard
Moscow Journal of Combinatorics and Number Theory, 2023, 12 (1), pp.1 - 56. ⟨10.2140/moscow.2023.12.1⟩
Journal articles hal-03221168v3

Reduction type of smooth plane quartics

Reynald Lercier , Qing Liu , Elisa Lorenzo García , Christophe Ritzenthaler
Algebra & Number Theory, 2021, 15 (6), pp.1429-1468. ⟨10.2140/ant.2021.15.1429⟩
Journal articles hal-03412558v1

Randomized Decoding of Gabidulin Codes Beyond the Unique Decoding Radius

Julian Renner , Thomas Jerkovits , Hannes Bartz , Sven Puchinger , Pierre Loidreau et al.
Ding J.; Tillich JP. Post-Quantum Cryptography. PQCrypto 2020., 12100, Springer International Publishing, pp.3-19, 2020, Lecture Notes in Computer Science, ⟨10.1007/978-3-030-44223-1_1⟩
Book sections hal-03360834v1
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On isogeny calculation by solving p-adic differential equations

Elie Eid
Algebraic Geometry [math.AG]. Université Rennes 1, 2021. English. ⟨NNT : 2021REN1S012⟩
Theses tel-03337021v1