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Additive cyclic codes over $\mathbb F_4$
On the security of generalized Jacobian cryptosystems
1.  Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada 
[1] 
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 
[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] 
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 
[4] 
Felipe Cabarcas, Daniel Cabarcas, John Baena. Efficient publickey operation in multivariate schemes. Advances in Mathematics of Communications, 2019, 13 (2) : 343371. doi: 10.3934/amc.2019023 
[5] 
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 
[6] 
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 
[7] 
Stefania Fanali, Massimo Giulietti, Irene Platoni. On maximal curves over finite fields of small order. Advances in Mathematics of Communications, 2012, 6 (1) : 107120. doi: 10.3934/amc.2012.6.107 
[8] 
Josep M. Miret, Jordi Pujolàs, Anna Rio. Explicit 2power torsion of genus 2 curves over finite fields. Advances in Mathematics of Communications, 2010, 4 (2) : 155168. doi: 10.3934/amc.2010.4.155 
[9] 
Ferruh Özbudak, Burcu Gülmez Temür, Oǧuz Yayla. Further results on fibre products of Kummer covers and curves with many points over finite fields. Advances in Mathematics of Communications, 2016, 10 (1) : 151162. doi: 10.3934/amc.2016.10.151 
[10] 
Ryutaroh Matsumoto. Strongly secure quantum ramp secret sharing constructed from algebraic curves over finite fields. Advances in Mathematics of Communications, 2019, 13 (1) : 110. doi: 10.3934/amc.2019001 
[11] 
Philip N. J. Eagle, Steven D. Galbraith, John B. Ong. Point compression for Koblitz elliptic curves. Advances in Mathematics of Communications, 2011, 5 (1) : 110. doi: 10.3934/amc.2011.5.1 
[12] 
Nazar Arakelian, Saeed Tafazolian, Fernando Torres. On the spectrum for the genera of maximal curves over small fields. Advances in Mathematics of Communications, 2018, 12 (1) : 143149. doi: 10.3934/amc.2018009 
[13] 
V. Kumar Murty, Ying Zong. Splitting of abelian varieties. Advances in Mathematics of Communications, 2014, 8 (4) : 511519. doi: 10.3934/amc.2014.8.511 
[14] 
Alice Silverberg. Some remarks on primality proving and elliptic curves. Advances in Mathematics of Communications, 2014, 8 (4) : 427436. doi: 10.3934/amc.2014.8.427 
[15] 
David L. Finn. Convexity of level curves for solutions to semilinear elliptic equations. Communications on Pure & Applied Analysis, 2008, 7 (6) : 13351343. doi: 10.3934/cpaa.2008.7.1335 
[16] 
Jędrzej Śniatycki. Integral curves of derivations on locally semialgebraic differential spaces. Conference Publications, 2003, 2003 (Special) : 827833. doi: 10.3934/proc.2003.2003.827 
[17] 
Isaac A. García, Jaume Giné. Nonalgebraic invariant curves for polynomial planar vector fields. Discrete & Continuous Dynamical Systems  A, 2004, 10 (3) : 755768. doi: 10.3934/dcds.2004.10.755 
[18] 
Peter Birkner, Nicolas Thériault. Efficient halving for genus 3 curves over binary fields. Advances in Mathematics of Communications, 2010, 4 (1) : 2347. doi: 10.3934/amc.2010.4.23 
[19] 
Alex Wright. Schwarz triangle mappings and Teichmüller curves: Abelian squaretiled surfaces. Journal of Modern Dynamics, 2012, 6 (3) : 405426. doi: 10.3934/jmd.2012.6.405 
[20] 
Ravi Vakil and Aleksey Zinger. A natural smooth compactification of the space of elliptic curves in projective space. Electronic Research Announcements, 2007, 13: 5359. 
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