Christophe Doche

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All published works
Action Title Year Authors
+ On the Enumeration of Double-Base Chains with Applications to Elliptic Curve Cryptography. 2014 Christophe Doche
+ Double-Base Number System for Multi-scalar Multiplications 2009 Christophe Doche
David Kohel
Francesco Sica
+ PDF Chat Equidistribution modulo 1 and Salem numbers 2008 Christophe Doche
Michel Mendès-France
Jean-Jacques Ruch
+ PDF Chat The double-base number system in elliptic curve cryptography 2008 Christophe Doche
Laurent Imbert
+ Double-Base Number System for Multi-Scalar Multiplications. 2008 Christophe Doche
David Kohel
Francesco Sica
+ Arithmetic of elliptic curves (Chapter 13) 2006 Christophe Doche
T Tanja Lange
+ PDF Chat Efficient Scalar Multiplication by Isogeny Decompositions 2006 Christophe Doche
Thomas Icart
David Kohel
+ An Exercise on the Average Number of Real Zeros of Random Real Polynomials 2006 Christophe Doche
Michel Mendès France
+ Handbook of Elliptic and Hyperelliptic Curve Cryptography 2005 Henri Cohen
Gerhard Frey
Roberto Avanzi
Christophe Doche
Tanja Lange
Kim Nguyễn
Fréderik Vercauteren
+ Arithmetic of Special Curves 2005 Christophe Doche
Tanja Lange
+ Integer Arithmetic 2005 Christophe Doche
+ Arithmetic of Elliptic Curves 2005 Christophe Doche
Tanja Lange
+ PDF Chat Even moments of generalized Rudin--Shapiro polynomials 2005 Christophe Doche
+ Efficient Scalar Multiplication by Isogeny Decompositions. 2005 Christophe Doche
Thomas Icart
David Kohel
+ Moments of the Rudin?Shapiro Polynomials 2004 Christophe Doche
Laurent Habsieger
+ PDF Chat On the real roots of generalized Thue–Morse polynomials 2001 Christophe Doche
+ PDF Chat Zhang-Zagier heights of perturbed polynomials 2001 Christophe Doche
+ On the spectrum of the Zhang-Zagier height 2000 Christophe Doche
+ PDF Chat Integral Geometry and Real Zeros of Thue–Morse Polynomials 2000 Christophe Doche
Michel Mendès France
+ Améliorations apportées par le matériau de référence CRM 470 dans la standardisation du dosage des protéines sériques 1997 Jacques Bienvenu
Christophe Doche
R Later
J.C. Manceaux
Françoise Pontet
M Pressac
Anne Vassault
Geneviève Dumont
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Faster Addition and Doubling on Elliptic Curves 2007 Daniel J. Bernstein
Tanja Lange
3
+ Handbook of Elliptic and Hyperelliptic Curve Cryptography 2005 Henri Cohen
Gerhard Frey
Roberto Avanzi
Christophe Doche
Tanja Lange
Kim Nguyễn
Fréderik Vercauteren
3
+ On the Average Number of Real Roots of a Random Algebraic Equation (II) 1948 Mark Kac
3
+ PDF Chat How many zeros of a random polynomial are real? 1995 Alan Edelman
Eric Kostlan
3
+ PDF Chat On the average number of real roots of a random algebraic equation 1943 Mark Kac
3
+ Scalar Multiplication on Koblitz Curves Using Double Bases 2006 Roberto Avanzi
Francesco Sica
2
+ PDF Chat Improved Algorithms for Elliptic Curve Arithmetic in GF(2n) 1999 Julio López
Ricardo Dahab
2
+ Faster Point Multiplication on Elliptic Curves with Efficient Endomorphisms 2001 Robert Gallant
R. J. Lambert
Scott A. Vanstone
2
+ Double-Base Number System for Multi-scalar Multiplications 2009 Christophe Doche
David Kohel
Francesco Sica
2
+ PDF Chat Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log? 2005 David Jao
Stephen D. Miller
Ramarathnam Venkatesan
2
+ On the Number of Real Roots of a Random Algebraic Equation 1956 Paul Erdős
A. C. Offord
2
+ Extremal problems for polynomials and power series 1951 Harold S. Shapiro
2
+ Theory and applications of the double-base number system 1999 Vassil S. Dimitrov
G.A. Jullien
William C. Miller
2
+ PDF Chat Short Memory Scalar Multiplication on Koblitz Curves 2005 Katsuyuki Okeya
Tsuyoshi Takagi
Camille Vuillaume
2
+ Distribution of roots of random polynomials 1992 E. Bogomolny
O. Bohigas
P. Lebœuf
1
+ PDF Chat Variations on a Theme of Kronecker 1978 David W. Boyd
1
+ PDF Chat Exceptional Units and Numbers of Small Mahler Measure 1995 Joseph H. Silverman
1
+ PDF Chat Orbits of algebraic numbers with low heights 1998 Gregory P. Dresden
1
+ On Integral Zeros of Krawtchouk Polynomials 1996 Ilia Krasikov
Simon Litsyn
1
+ PDF Chat Reciprocal polynomials having small measure. II 1989 David W. Boyd
1
+ Positive Line Bundles on Arithmetic Surfaces 1992 Shou-Wu Zhang
1
+ PDF Chat Minorations des hauteurs normalisées des sous-variétés de variétés abeliennes II 2002 S. David
Patrice Philippon
1
+ PDF Chat On the measure of totally real algebraic integers. II 1981 Chris Smyth
1
+ PDF Chat Algebraic numbers close to both 0 and 1 1993 Don Zagier
1
+ PDF Chat The double-base number system and its application to elliptic curve cryptography 2007 Vassil S. Dimitrov
Laurent Imbert
Pradeep Kumar Mishra
1
+ Positivite et Discretion des Points Algebriques des Courbes 1998 Emmanuel Ullmo
1
+ PDF Chat Convergence Acceleration of Alternating Series 2000 Henri Cohen
Fernando Rodríguez Villegas
Don Zagier
1
+ PDF Chat Some problems in partitio numerorum 1979 Péter L. Erdős
John Loxton
1
+ Moments of the Rudin?Shapiro Polynomials 2004 Christophe Doche
Laurent Habsieger
1
+ PDF Chat Some theorems on Fourier coefficients 1959 Walter Rudin
1
+ Strictly chained (p,q)-ary partitions 2010 Laurent Imbert
Fabrice Philippe
1
+ PDF Chat On the measure of totally real algebraic integers 1980 Chris Smyth
1
+ Algorithms for the determination of polynomials with small mahler measure 1995 Michael J. Mossinghoff
Jeffrey D. Vaaler
1
+ Ein mengentheoretischer Satz über die Gleichverteilung modulo Eins 1935 J.F. Koksma
1
+ PDF Chat Suites algébriques, automates et substitutions 1980 G. Christol
Teturo Kamae
Michel Mendès France
Gérard Rauzy
1
+ PDF Chat Suites uniformément denses, moyennes trigonométriques, fonctions pseudo-aléatoires 1959 Jean Bass
1
+ PDF Chat Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro 1981 Michel Mendès France
Gérald Tenenbaum
1
+ Salem numbers and uniform distribution modulo 1 2004 Shigeki Akiyama
Yoshio Tanigawa
1
+ PDF Chat Reciprocal Polynomials having Small Measure. II 1989 David W. Boyd
1
+ PDF Chat Reciprocal Polynomials Having Small Measure 1980 David W. Boyd
1
+ Elliptic Curves 2003 Lawrence C. Washington
1
+ Algebraic Numbers Close to Both 0 and 1 1993 D. Zagier
1
+ Introduction to geometric probability 1998 Gian‐Carlo Rota
1
+ PDF Chat Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes 1998 Sinnou David
Patrice Philippon
1
+ PDF Chat On the Mahler measure of the composition of two polynomials 1997 Georges Rhin
Chris Smyth
1
+ Fast Point Multiplication on Elliptic Curves through Isogenies 2003 Éric Brier
Marc Jóye
1
+ Strictly ergodic symbolic dynamical systems 1972 Shizuo Kakutani
1
+ Pisot and Salem Numbers 1992 Marie José Bertin
A. Decomps-Guilloux
M. Grandet-Hugot
M. Pathiaux-Delefosse
J. P. Schreiber
1
+ Uniform distribution modulo one: a geometrical viewpoint. 1981 F. M. Dekking
1
+ On the Product of the Conjugates outside the unit circle of an Algebraic Integer 1971 Chris Smyth
1