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A filtering method for the hyperelliptic curve index calculus and its analysis
Efficient implementation of elliptic curve cryptography in wireless sensors
1.  University of Campinas (UNICAMP), Campinas  SP, CEP 13083970, Brazil, Brazil, Brazil, Brazil 
[1] 
Gerhard Frey. Relations between arithmetic geometry and public key cryptography. Advances in Mathematics of Communications, 2010, 4 (2) : 281305. doi: 10.3934/amc.2010.4.281 
[2] 
Florian Luca, Igor E. Shparlinski. On finite fields for pairing based cryptography. Advances in Mathematics of Communications, 2007, 1 (3) : 281286. doi: 10.3934/amc.2007.1.281 
[3] 
Huaiyu Jian, Hongjie Ju, Wei Sun. Traveling fronts of curve flow with external force field. Communications on Pure & Applied Analysis, 2010, 9 (4) : 975986. doi: 10.3934/cpaa.2010.9.975 
[4] 
Koray Karabina, Berkant Ustaoglu. Invalidcurve attacks on (hyper)elliptic curve cryptosystems. Advances in Mathematics of Communications, 2010, 4 (3) : 307321. doi: 10.3934/amc.2010.4.307 
[5] 
Anton Stolbunov. Constructing publickey cryptographic schemes based on class group action on a set of isogenous elliptic curves. Advances in Mathematics of Communications, 2010, 4 (2) : 215235. doi: 10.3934/amc.2010.4.215 
[6] 
Steven D. Galbraith, Ping Wang, Fangguo Zhang. Computing elliptic curve discrete logarithms with improved babystep giantstep algorithm. Advances in Mathematics of Communications, 2017, 11 (3) : 453469. doi: 10.3934/amc.2017038 
[7] 
M. J. Jacobson, R. Scheidler, A. Stein. Cryptographic protocols on real hyperelliptic curves. Advances in Mathematics of Communications, 2007, 1 (2) : 197221. doi: 10.3934/amc.2007.1.197 
[8] 
Richard Hofer, Arne Winterhof. On the arithmetic autocorrelation of the Legendre sequence. Advances in Mathematics of Communications, 2017, 11 (1) : 237244. doi: 10.3934/amc.2017015 
[9] 
Andrew P. Sage. Risk in system of systems engineering and management. Journal of Industrial & Management Optimization, 2008, 4 (3) : 477487. doi: 10.3934/jimo.2008.4.477 
[10] 
Qichun Wang, Chik How Tan, Pantelimon Stănică. Concatenations of the hidden weighted bit function and their cryptographic properties. Advances in Mathematics of Communications, 2014, 8 (2) : 153165. doi: 10.3934/amc.2014.8.153 
[11] 
Andreas Klein. How to say yes, no and maybe with visual cryptography. Advances in Mathematics of Communications, 2008, 2 (3) : 249259. doi: 10.3934/amc.2008.2.249 
[12] 
Gérard Maze, Chris Monico, Joachim Rosenthal. Public key cryptography based on semigroup actions. Advances in Mathematics of Communications, 2007, 1 (4) : 489507. doi: 10.3934/amc.2007.1.489 
[13] 
Tanja Eisner, Rainer Nagel. Arithmetic progressions  an operator theoretic view. Discrete & Continuous Dynamical Systems  S, 2013, 6 (3) : 657667. doi: 10.3934/dcdss.2013.6.657 
[14] 
Mehdi Pourbarat. On the arithmetic difference of middle Cantor sets. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 42594278. doi: 10.3934/dcds.2018186 
[15] 
Eitan Altman. Bioinspired paradigms in network engineering games. Journal of Dynamics & Games, 2014, 1 (1) : 115. doi: 10.3934/jdg.2014.1.1 
[16] 
WolfJüergen Beyn, Janosch Rieger. Galerkin finite element methods for semilinear elliptic differential inclusions. Discrete & Continuous Dynamical Systems  B, 2013, 18 (2) : 295312. doi: 10.3934/dcdsb.2013.18.295 
[17] 
Lijuan Wang, Jun Zou. Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems. Discrete & Continuous Dynamical Systems  B, 2010, 14 (4) : 16411670. doi: 10.3934/dcdsb.2010.14.1641 
[18] 
Joseph H. Silverman. Localglobal aspects of (hyper)elliptic curves over (in)finite fields. Advances in Mathematics of Communications, 2010, 4 (2) : 101114. doi: 10.3934/amc.2010.4.101 
[19] 
Christos V. Nikolopoulos, Georgios E. Zouraris. Numerical solution of a nonlocal elliptic problem modeling a thermistor with a finite element and a finite volume method. Conference Publications, 2007, 2007 (Special) : 768778. doi: 10.3934/proc.2007.2007.768 
[20] 
Tetsuya Ishiwata, Kota Kumazaki. Structure preserving finite difference scheme for the LandauLifshitz equation with applied magnetic field. Conference Publications, 2015, 2015 (special) : 644651. doi: 10.3934/proc.2015.0644 
2017 Impact Factor: 0.564
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