Optimizing double-base ellipticcurve single-scalar multiplication, Progress in Cryptology INDOCRYPT 2007, pp.167-182, 2007. ,
Explicit-formulas database ,
Faster Addition and Doubling on Elliptic Curves, Asiacrypt, p.2950, 2007. ,
DOI : 10.1007/978-3-540-76900-2_3
Inverted Edwards coordinates In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, LNCS, vol.4851, pp.20-27, 2007. ,
Analysis and optimization of elliptic-curve single-scalar multiplication, Finite fields and applications: proceedings of Fq8, pp.1-19, 2008. ,
DOI : 10.1090/conm/461/08979
Sequences of numbers generated by addition in formal groups and new primality and factorization tests, Advances in Applied Mathematics, vol.7, issue.4, pp.385-434, 1986. ,
DOI : 10.1016/0196-8858(86)90023-0
Two algorithms for modular exponentiation using nonstandard arithmetics, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.78, issue.1, pp.82-87, 1995. ,
Efficient and Secure Elliptic Curve Point Multiplication Using Double-Base Chains, ASIACRYPT, pp.59-78, 2005. ,
DOI : 10.1007/11593447_4
URL : https://hal.archives-ouvertes.fr/lirmm-00106638
Efficient Scalar Multiplication by Isogeny Decompositions, Public Key Cryptography, pp.191-206, 2006. ,
DOI : 10.1007/11745853_13
Extended Double-Base Number System with Applications to Elliptic Curve Cryptography, INDOCRYPT, pp.335-348, 2006. ,
DOI : 10.1007/11941378_24
URL : https://hal.archives-ouvertes.fr/lirmm-00125442
Improving the arithmetic of elliptic curves in the Jacobi model, Information Processing Letters, vol.104, issue.3, pp.101-105, 2007. ,
DOI : 10.1016/j.ipl.2007.05.012
URL : https://hal.archives-ouvertes.fr/lirmm-00145805
A normal form for elliptic curves, Bulletin of the American Mathematical Society, vol.44, issue.03, pp.393-422, 2007. ,
DOI : 10.1090/S0273-0979-07-01153-6
Guide to Elliptic Curve Cryptography, 2004. ,
New Formulae for Efficient Elliptic Curve Arithmetic, INDOCRYPT, pp.138-151, 2007. ,
DOI : 10.1007/978-3-540-77026-8_11
An intersection form for jacobiquartic curves, 2008. ,
Preventing SPA/DPA in ECC Systems Using the Jacobi Form, CHES, pp.391-401, 2001. ,
DOI : 10.1007/3-540-44709-1_32
Setting speed records with the (fractional) multibase non-adjacent form method for efficient elliptic curve scalar multiplication, 2009. ,
New Composite Operations and Precomputation Scheme for Elliptic Curve Cryptosystems over Prime Fields, Public Key Cryptography, pp.229-247, 2008. ,
DOI : 10.1007/978-3-540-78440-1_14
New Point Addition Formulae for ECC Applications, Arithmetic of Finite Fields, pp.189-201, 2007. ,
DOI : 10.1007/978-3-540-73074-3_15
URL : https://hal.archives-ouvertes.fr/lirmm-00188957
Efficient Quintuple Formulas for Elliptic Curves and Efficient Scalar Multiplication Using Multibase Number Representation, Information Security, 2007. ,
DOI : 10.1007/978-3-540-75496-1_26
On the Evaluation of Powers, SIAM Journal on Computing, vol.5, issue.1, pp.100-103, 1976. ,
DOI : 10.1137/0205008
Représentations des nombres naturels par une somme de nombre de Fibonacci ou de nombres de Lucas, Bulletin de la Socit Royale des Sciences de Lige, pp.179-182, 1972. ,