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This page is no longer updated, please see: http://web.me.com/ntheriau/ Mailing address:
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email: ntheriau at inst-mat.utalca.cl
Efficient Halving For Genus 3 Curves over Binary Fields (with P. Birkner) ( pdf , extended version )
Weil Descent Attack for Artin-Schreier Curves ( pdf , ps )
Faster Halvings in Genus 2 (with P. Birkner), Selected Areas in Cryptography - SAC 2008, Lecture Notes in Computer Science, (to appear)
(preprint: pdf )
Rethinking Low Genus Hyperelliptic Jacobian Arithmetic over Binary Fields: Interplay of Field Arithmetic and Explicit Formulae (with R. Avanzi and Z. Wang), Journal of Mathematical Cryptology, Vol 2, issue 3, 227-256, 2008
(preprint: pdf ) final version (JMC)
Solving Discrete Logarithms from Partial Knowledge of the Key (with K. Gopalakrishnan and C. Z. Yao), Progress in Cryptology - INDOCRYPT 2007, Lecture Notes in Computer Science, 4859, 224--237, 2007
(preprint: pdf ) final version (LNCS)
Effects of Optimizations for Software Implementations of Small Binary Field Arithmetic (with R. Avanzi), Arithmetic of Finite Fields - WAIFI 2007, Lecture Notes in Computer Science, 4547, 69--84, 2007
(preprint: pdf ) final version (LNCS)
Ate Pairing on Hyperelliptic Curves (with R. Granger, F. Hess, R. Oyono, and F. Vercauteren), Advances in Cryptology - EUROCRYPT 2007, Lecture Notes in Computer Science, 4515, 430--447, 2007
(preprint: pdf ) final version (LNCS)
A Double Large Prime Variation for Small Genus Hyperelliptic Index Calculus (with P. Gaudry, E. Thomé and C. Diem), Math. Comp. 76, 475-492, 2007
(preprint: pdf , ps ) final version (MathComp)
Unified Point Addition Formulae and Side-Channel Attacks (with D. Stebila), Cryptographic Hardware and Embedded Systems - CHES 2006, Lecture Notes in Computer Science, 4249, 354--368, 2006
(preprint: pdf ) final version (LNCS)
SPA Resistant Left-to-Right Integer Recodings, Selected Areas in Cryptography - SAC 2005, Lecture Notes in Computer Science, 3897, 345--358, 2006
(preprint: pdf , ps ) final version (LNCS)
Contributed chapters (ch. 20 & 21, with R. Avanzi, pp. 495 -- 527) in Handbook of Elliptic and Hyperelliptic Curve Cryptography, Cohen, Frey, et al., Chapman & Hall/CRC, 2005
Index calculus attack for hyperelliptic curves of small genus, Advances in Cryptology - ASIACRYPT 2003, Lecture Notes in Computer Science, 2894, 75--92, 2003
(preprint: pdf , ps ) final version (LNCS)
Weil descent attack for Kummer extensions, Journal of the Ramanujan Mathematical Society, 18, No. 3 (2003), 281--312
(preprint: pdf , ps )
Generalizations of the Josephus problem, Utilitas Mathamatica, 58 (2000), 161--173
(preprint: pdf , ps )