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30 résultats
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Multiplication and Squaring in Cubic and Quartic Extensions for Pairing Based Cryptography2019
Pré-publication, Document de travail
hal-02196367v1
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RNS arithmetic in Fpk and application to fast pairing computationJournal of Mathematical Cryptology, 2011, 5 (1), pp.51-88. ⟨10.1515/jmc.2011.006⟩
Article dans une revue
istex
hal-00687220v1
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Elliptic Curves Associated with Simplest Quartic FieldsJournal de Théorie des Nombres de Bordeaux, 2007, 19 (1), pp.81-100. ⟨10.5802/jtnb.575⟩
Article dans une revue
lirmm-00145846v1
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Arithmetic of Finite Fields, 6th International Workshop, WAIFI 2016Springer, 10064, 2017, Lecture Notes in Computer Sciences, ⟨10.1007/978-3-319-55227-9⟩
Ouvrages
hal-01542586v1
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Residue systems efficiency for modular products summation: Application to Elliptic Curves CryptographyProceedings of SPIE : Advanced Signal Processing Algorithms, Architectures, and Implementations XVI, Aug 2006, pp.0
Communication dans un congrès
lirmm-00146450v1
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Curves with fast computations in the first pairing group19th International Conference, CANS 2020, Vienna, Austria, December 14–16, 2020, Proceedings, Dec 2020, Vienna, Austria
Communication dans un congrès
hal-02944143v1
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GENERATORS AND INTEGRAL POINTS ON ELLIPTIC CURVES ASSOCIATED WITH SIMPLEST QUARTIC FIELDSMathematica Slovaca, 2020, 70 (2), pp.273-288. ⟨10.1515/ms-2017-0350⟩
Article dans une revue
hal-02018434v1
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Solving 114-bit ECDLP for a Barreto-Naehrig CurveInformation Security and Cryptology - ICISC 2017, Nov 2017, Séoul, South Korea. pp.231-244, ⟨10.1007/978-3-319-78556-1_13⟩
Communication dans un congrès
hal-01633653v1
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Rational Points on Higher -Genus curvesNumber Theory Volume II : Analytic and Modern Tools, pp.441-462, 2007, 978-0-387-49893-5
Chapitre d'ouvrage
lirmm-00182681v1
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Improving the Arithmetic of Elliptic Curves in the Jacobi ModelInformation Processing Letters, 2007, 104 (3), pp.101-105. ⟨10.1016/j.ipl.2007.05.012⟩
Article dans une revue
lirmm-00145805v1
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Web-based Volunteer Computing for Solving the Elliptic Curve Discrete Logarithm ProblemInternational Journal of Networking and Computing, 2016, 6 (2), pp.181-194
Article dans une revue
hal-01540017v1
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Efficient Scalar Multiplication for Ate Based Pairing over KSS Curve of Embedding Degree 18WISA, 2016, Jeju Island, South Korea. pp.221--232
Communication dans un congrès
hal-01542585v1
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Montgomery scalar multiplication for genus 2 curvesArithmetic of finite fields, Jul 2008, Siena, Italy. pp.174-188
Communication dans un congrès
hal-00457826v1
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Finite field arithmetic in large characteristic for classical and post-quantum cryptographyWAIFI, 2022, Chengdu, China. pp.79-106, ⟨10.1007/978-3-031-22944-2_5⟩
Communication dans un congrès
hal-03933761v1
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An Improvement of Optimal Ate Pairing on KSS curve with Pseudo 12-sparse MultiplicationInformation Security and Cryptology - ICISC 2016, 2016, Séoul, South Korea. pp.1--12
Communication dans un congrès
hal-01542582v1
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Combining leak–resistant arithmetic for elliptic curves defined over Fp and RNS representationPublications Mathématiques de Besançon : Algèbre et Théorie des Nombres, 2013, pp.67-87
Article dans une revue
hal-01098795v1
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Choosing parametersNadia El Mrabet; Marc Joye. Guide to pairing based cryptography, CRC Press, 2016, Chapman & Hall/CRC Cryptography and Network Security, 9781498729505
Chapitre d'ouvrage
hal-01579710v1
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High speed and efficient area optimal ate pairing processor implementation over BN and BLS12 curves on FPGAMicroprocessors and Microsystems: Embedded Hardware Design , 2018, 61, pp.227-241. ⟨10.1016/j.micpro.2018.06.001⟩
Article dans une revue
hal-01968174v1
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Efficient Optimal Ate Pairing at 128-bit Security LevelIndoCrypt 2017 - 18th International Conference on Cryptology, Dec 2017, Chennai, India. pp.186-205
Communication dans un congrès
hal-01620848v1
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Traces of the group law on the Kummer surface of a curve of genus 2 in characteristic 2Mathematics in Computer Science, 2010, 3 (2), pp.173-183. ⟨10.1007/s11786-009-0013-x⟩
Article dans une revue
hal-00521513v1
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Efficient computation of pairings on Jacobi quartic elliptic curvesJournal of Mathematical Cryptology, 2014, 8 (4), pp.331-362. ⟨10.1515/jmc-2013-0033⟩
Article dans une revue
hal-01095359v1
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Tate Pairing Computation on Jacobi's Elliptic CurvesPairing-Based Cryptography-Pairing 2012, May 2012, Cologne, Germany. pp.254-269, ⟨10.1007/978-3-642-36334-4_17⟩
Communication dans un congrès
istex
hal-00832363v1
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Montgomery-friendly primes and applications to cryptographyJournal of Cryptographic Engineering, 2021, 11 (4), p. 399-415. ⟨10.1007/s13389-021-00260-z⟩
Article dans une revue
hal-02883333v1
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Combining Montgomery Ladder for Elliptic Curves Defined over $\F_p$ and RNS Representation[Research Report] 06041, LIR. 2006
Rapport
lirmm-00102859v1
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Updating key size estimations for pairingsJournal of Cryptology, 2019, 32 (4), pp.1298--1336. ⟨10.1007/s00145-018-9280-5⟩
Article dans une revue
hal-01534101v2
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Side-Channel Attack using Order 4 Element against Curve25519 on ATmega328PPROCEEDINGS OF 2018 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS (ISITA2018), 2018, Singapour, Singapore. pp.618-622
Communication dans un congrès
hal-01968191v1
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Memory-saving computation of the pairing final exponentiation on BN curvesjournal of Groups, Complexity, Cryptology, 2016, 8 (1), pp.75-90. ⟨10.1515/gcc-2016-0006⟩
Article dans une revue
hal-01317398v1
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Choosing and generating parameters for pairing implementation on {BN} curvesApplicable Algebra in Engineering, Communication and Computing, 2018, 29 (2), pp.113-147. ⟨10.1007/s00200-017-0334-y⟩
Article dans une revue
hal-01542564v1
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Arithmetic of Finite FieldsNadia El Mrabet; Marc Joye. Guide to pairing based cryptography, Chapman and Hall/CRC, 2016, Chapman & Hall/CRC Cryptography and network Security Series, 9781498729505
Chapitre d'ouvrage
hal-01579661v1
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FPGA Implementation of Pairings Using Residue Number System and Lazy ReductionBart Preneel. Cryptographic Hardware and Embedded Systems. CHES 2011: 13th International Workshop, Nara, Japan, September 28 - October 1, 2011, Proceedings, 6917, Springer, pp.421-441, 2011, Lecture Notes in Computer Science 9783642239502. ⟨10.1007/978-3-642-23951-9_28⟩
Chapitre d'ouvrage
hal-00745016v1
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