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Explicit 2power torsion of genus 2 curves over finite fields
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 
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Haibo Yi. Efficient systolic multiplications in composite fields for cryptographic systems. Discrete & Continuous Dynamical Systems  S, 2019, 12 (4&5) : 11351145. doi: 10.3934/dcdss.2019078 
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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 
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[12] 
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[13] 
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 
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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 
[15] 
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 
[16] 
Akbar Mahmoodi Rishakani, Seyed Mojtaba Dehnavi, Mohmmadreza Mirzaee Shamsabad, Nasour Bagheri. Cryptographic properties of cyclic binary matrices. Advances in Mathematics of Communications, 2021, 15 (2) : 311327. doi: 10.3934/amc.2020068 
[17] 
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 
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[20] 
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2020 Impact Factor: 0.935
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