1. bookVolume 30 (2022): Edition 1 (February 2022)
Détails du magazine
License
Format
Magazine
eISSN
1844-0835
Première parution
17 May 2013
Périodicité
1 fois par an
Langues
Anglais
access type Accès libre

Different approach on elliptic curves mathematical models study and their applications

Publié en ligne: 12 Mar 2022
Volume & Edition: Volume 30 (2022) - Edition 1 (February 2022)
Pages: 43 - 56
Reçu: 16 May 2021
Accepté: 31 Jul 2021
Détails du magazine
License
Format
Magazine
eISSN
1844-0835
Première parution
17 May 2013
Périodicité
1 fois par an
Langues
Anglais
Abstract

In a research project in which a group of mathematical researchers is involved, it was necessary to create a system of nonlinear equations defined over a particular nonsupersingular elliptic space. This paper presents a part of the results obtained in this field, as well as the applications where the built models has been demonstrated their reliability.

Keywords

MSC 2010

[1] Henri Cohen, Gerhard Frey, Handbook of Elliptic and Hyperelliptic Curve Cryptography, CRC 2006.10.1201/9781420034981 Search in Google Scholar

[2] Jean Sebastien Coron, David Lefranc, Guillaume Poupard, A New Baby-Step Giant-Step Algorithm and Some Applications to Cryptanalysis, Cryptographic Hardware and Embedded Systems, CHES 2005, Springer Berlin/Heidelberg, 2005. Search in Google Scholar

[3] Antonescu Elisabeta, Bota Gabriela, Serb Bogdan, Duicau Lavinia, Study of the Total Serum Concentration of Serum Ionized Magnesium in Children and Adolescents from Sibiu Area, Revista de chimie, 69 (2018), no. 12, 3389–3392. Search in Google Scholar

[4] Duica Lavinia, Depression - multiple psychopathological faces (a case report), Proceedings of the International Conference on Mental Health -Psychology, Medicine and Anthropology for Life Quality, Romania, 2016, 59–62. Search in Google Scholar

[5] Silisteanu Sinziana, Antonescu, Elisabeta, Duica Lavinia, The importance of balance and postural control in the recovery of stroke patients, Balneo Research Journal, 11 (2020), no. 3, 372–378. Search in Google Scholar

[6] Duica Lavinia, The use of the internet - professional development or internet addiction in medical students, Journal of Educational Sciences & Psychology, 7 (2017), no. 2, 59–64. Search in Google Scholar

[7] Mutica M., Ciubara Anamaria, Duica Lavinia, Alexandru D., Plesea Condratovici, Pirlog Mihail, Elderly schizophrenic patients - clinical and social correlations, European Neuropsychopharmacology, 26 (2016), no. 2, 5512-5512. Search in Google Scholar

[8] Constantinescu Nicolae, Security System Vulnerabilities, Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences, 13 (2012), no. 2, 175–179. Search in Google Scholar

[9] Stephanides George, Constantinescu Nicolae, Cosulschi Mirel, Gabroveanu Mihai, RSA-padding signatures with attack studies, WEBIST 2006, 97–1000. Search in Google Scholar

[10] Ticleanu Oana, Constantinescu Nicolae, Intelligent data retrieval with hierarchically structured information, KES IIMS 2013, 345–351. Search in Google Scholar

[11] Stephanides George, Constantinescu Nicolae, The GN-authenticated key agreement, Applied Mathematics and Computation, 170 2015, no. 1, 531–544.10.1016/j.amc.2004.12.013 Search in Google Scholar

[12] Emil Simion, Nicolae Constantinescu, Complexity Computations in Code Cracking Problems, Concurrent Engineering in Electronic Packaging, IEEE Communication, ISSE 2001, 225–232. Search in Google Scholar

[13] Oana Ticleanu, Differential operators over particular elliptic curves spaces with cryptographic applications. E. Journal of Differential Equations, 2015, no.303, 1–5. Search in Google Scholar

[14] Oana Ticleanu, Endomorphisms on elliptic curves for optimal subspaces and applications to differential equations and nonlinear cryptography. E. Journal of Differential Equations, 2015, no. 214, 1–9. Search in Google Scholar

[15] Alin Golumbeanu, Oana Ticleanu, Elliptic Curves Differentiation with Application to Group Signature Scheme, E. Journal of Differential Equations, 2017, no. 237, 1–21. Search in Google Scholar

[16] Nicolae Constantinescu, Oana Ticleanu, Alin Golumbeanu, Nonliniearities on Cryptographic Shift Registers, Annals of the University of Craiova, Mathematics and Computer Science Series, 43 2016, no. 1, 27–32. Search in Google Scholar

[17] Chaum David, Ernest Van Heyst, Group signatures, Advances in Cryptology Eurocrypt ’91, 547, 257–265.10.1007/3-540-46416-6_22 Search in Google Scholar

[18] Camenisch John, Stadler Michael, E cient group signatures schemes for large groups, Advances in Cryptology-Crypto 1997, 1294, 410–424.10.1007/BFb0052252 Search in Google Scholar

Articles recommandés par Trend MD

Planifiez votre conférence à distance avec Sciendo