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Optimization of the arithmetic of the ideal class group for genus 4 hyperelliptic curves over projective coordinates
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Local-global aspects of (hyper)elliptic curves over (in)finite fields
1. | Mathematics Department, Box 1917, Brown University, Providence, RI 02912, United States |
[1] |
Roberto Avanzi, Nicolas Thériault. A filtering method for the hyperelliptic curve index calculus and its analysis. Advances in Mathematics of Communications, 2010, 4 (2) : 189-213. doi: 10.3934/amc.2010.4.189 |
[2] |
Koray Karabina, Berkant Ustaoglu. Invalid-curve attacks on (hyper)elliptic curve cryptosystems. Advances in Mathematics of Communications, 2010, 4 (3) : 307-321. doi: 10.3934/amc.2010.4.307 |
[3] |
Diego F. Aranha, Ricardo Dahab, Julio López, Leonardo B. Oliveira. Efficient implementation of elliptic curve cryptography in wireless sensors. Advances in Mathematics of Communications, 2010, 4 (2) : 169-187. doi: 10.3934/amc.2010.4.169 |
[4] |
Kwang Ho Kim, Junyop Choe, Song Yun Kim, Namsu Kim, Sekung Hong. Speeding up regular elliptic curve scalar multiplication without precomputation. Advances in Mathematics of Communications, 2020, 14 (4) : 703-726. doi: 10.3934/amc.2020090 |
[5] |
Frank Trujillo. Uniqueness properties of the KAM curve. Discrete and Continuous Dynamical Systems, 2021, 41 (11) : 5165-5182. doi: 10.3934/dcds.2021072 |
[6] |
Steven D. Galbraith, Ping Wang, Fangguo Zhang. Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm. Advances in Mathematics of Communications, 2017, 11 (3) : 453-469. doi: 10.3934/amc.2017038 |
[7] |
Robert L. Devaney, Daniel M. Look. Buried Sierpinski curve Julia sets. Discrete and Continuous Dynamical Systems, 2005, 13 (4) : 1035-1046. doi: 10.3934/dcds.2005.13.1035 |
[8] |
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. A curve of positive solutions for an indefinite sublinear Dirichlet problem. Discrete and Continuous Dynamical Systems, 2020, 40 (2) : 817-845. doi: 10.3934/dcds.2020063 |
[9] |
Wenjing Chen, Louis Dupaigne, Marius Ghergu. A new critical curve for the Lane-Emden system. Discrete and Continuous Dynamical Systems, 2014, 34 (6) : 2469-2479. doi: 10.3934/dcds.2014.34.2469 |
[10] |
Marek Janasz, Piotr Pokora. On Seshadri constants and point-curve configurations. Electronic Research Archive, 2020, 28 (2) : 795-805. doi: 10.3934/era.2020040 |
[11] |
Huaiyu Jian, Hongjie Ju, Wei Sun. Traveling fronts of curve flow with external force field. Communications on Pure and Applied Analysis, 2010, 9 (4) : 975-986. doi: 10.3934/cpaa.2010.9.975 |
[12] |
Kai-Seng Chou, Ying-Chuen Kwong. General initial data for a class of parabolic equations including the curve shortening problem. Discrete and Continuous Dynamical Systems, 2020, 40 (5) : 2963-2986. doi: 10.3934/dcds.2020157 |
[13] |
Srdjan Stojanovic. Interest rates risk-premium and shape of the yield curve. Discrete and Continuous Dynamical Systems - B, 2016, 21 (5) : 1603-1615. doi: 10.3934/dcdsb.2016013 |
[14] |
Matteo Costantini, André Kappes. The equation of the Kenyon-Smillie (2, 3, 4)-Teichmüller curve. Journal of Modern Dynamics, 2017, 11: 17-41. doi: 10.3934/jmd.2017002 |
[15] |
Marie-Claude Arnaud. A nondifferentiable essential irrational invariant curve for a $C^1$ symplectic twist map. Journal of Modern Dynamics, 2011, 5 (3) : 583-591. doi: 10.3934/jmd.2011.5.583 |
[16] |
Roya Soltani, Seyed Jafar Sadjadi, Mona Rahnama. Artificial intelligence combined with nonlinear optimization techniques and their application for yield curve optimization. Journal of Industrial and Management Optimization, 2017, 13 (4) : 1701-1721. doi: 10.3934/jimo.2017014 |
[17] |
Alonso sepúlveda Castellanos. Generalized Hamming weights of codes over the $\mathcal{GH}$ curve. Advances in Mathematics of Communications, 2017, 11 (1) : 115-122. doi: 10.3934/amc.2017006 |
[18] |
Yuxi Zheng. Absorption of characteristics by sonic curve of the two-dimensional Euler equations. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 605-616. doi: 10.3934/dcds.2009.23.605 |
[19] |
Takiko Sasaki. Convergence of a blow-up curve for a semilinear wave equation. Discrete and Continuous Dynamical Systems - S, 2021, 14 (3) : 1133-1143. doi: 10.3934/dcdss.2020388 |
[20] |
Yan Cui, Yanfei Wang. Velocity modeling based on Rayleigh wave dispersion curve and sparse optimization inversion. Inverse Problems and Imaging, 2021, 15 (5) : 1121-1134. doi: 10.3934/ipi.2021031 |
2020 Impact Factor: 0.935
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