Nonlinearities on particular elliptic curves subspaces and applications

[1] D. Chaum and E. van Heyst, Group signatures, Advances in Cryptology EUROCRYPT ‘91, Vol. 547 of Lecture Notes in Computer Science, Springer-Verlag, pp. 257–265, 199110.1007/3-540-46416-6_22Search in Google Scholar

[2] J. Camenisch and M. Stadler, Efficient group signatures schemes for large groups, Advances in Cryptology-Crypto 1997, Vol. 1294 of Lecture Notes in Computer Science, Springer-Verlag, pp. 410–424, 199710.1007/BFb0052252Search in Google Scholar

[3] Oana Ticleanu, Nicolae Constantinescu, Daniel Ebanca, Intelligent data retrieval with hierarchically structured information, KES-IIMS, Vol. 254, pp. 345–351, Jun 26-28, Portugal, 2013Search in Google Scholar

[4] Oana Ticleanu, Differential operators over particular elliptic curves spaces with cryptographic applications. E. Journal of Differential Equations, Vol. 2015, No.303, pp. 19, 2015.Search in Google Scholar

[5] Oana Ticleanu, Endomorphisms on elliptic curves for optimal subspaces and applications to differential equations and nonlinear cryptography. E. Journal of Differential Equations, Vol 2015, No.214, pp. 19, 2015.Search in Google Scholar

[6] Alin Golumbeanu, Oana Ticleanu, Elliptic Curves Differentiation with Application to Group Signature Scheme, E. Journal of Differential Equations, Vol. 2017, No. 237, pp. 121, 2017.Search in Google Scholar

[7] Nicolae Constantinescu, Oana Ticleanu, Alin Golumbeanu, Nonlinieari-ties on Cryptographic Shift Registers, Annals of the University of Craiova, Mathematics and Computer Science Series, Vol. 43(1), pp. 2732, 2016.Search in Google Scholar

[8] Schoof, R. Elliptic curves over finite fields and the computation of square roots mod p. Math. Comp.1985, 44, 483–494.Search in Google Scholar

[9] Nicolae Constantinescu, Authentication ranks with identities based on elliptic curves, Annals of the University of Craiova, Mathematics and Computer Science Series, Vol. XXXIV(1), pp. 94–99, 2007Search in Google Scholar

[10] Silisteanu Calina, Mitariu Loredana, Ranga Remus, Antonescu Elisabeta, Duica Lavinia, Racheriu Mihaela, Totan Maria and Manea Marinela, Potentiating the Effect of Treatment with Voltaren Gel Using Ultrasonic Frequencies of 1 MHz, Revista de Chimie, 69 (2018), no. 7, 1749–1751.Search in Google Scholar

[11] Ramzi Alsaedi, Nicolae Constantinescu, Vicentiu Radulescu, Nonlinearities in Elliptic Curve Authentication, Entropy, Vol. 16(9), pp. 5144–5158, 201410.3390/e16095144Search in Google Scholar

[12] Montgomery, P.L. Modular Multiplication without Trial Division. Math. Comput.1985, 44, 519–521.Search in Google Scholar

[13] Nicolae Constantinescu, Security System Vulnerabilities, Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, Vol. 13(2), pp. 175–179, 2012Search in Google Scholar

[14] Muller, V. Fast Multiplication on Elliptic Curves over Small Fields of Characteristic Two. J. Cryptol.1998, 11, 219–234.Search in Google Scholar

[15] Duica Lavinia, Antonescu Elisabeta, Pirlog Mihail, Purnichi Traian, Szakacs Julianna, Totan Maria, Vintila Bogdan, Mitariu Mihaela, Mitariu Sebastian, Cernusca and Stetiu Andreea, Clinical and Biochemical Correlations of Aggression in Young Patients with Mental Disorders, Revista de Chimie, 69 (2018), no. 6, 1544–1549.Search in Google Scholar

[16] Ion Iancu, Nicolae Constantinescu and Mihaela Colhon, Fingerprints Identification using a Fuzzy Logic System, International Journal of Computers, Communications & Control, Vol. 5(4), pp. 525–531, 201010.15837/ijccc.2010.4.2510Search in Google Scholar

[17] Nicolae Constantinescu, George Stephanides, Mirel Cosulschi and Mihai Gabroveanu, RSA-Padding Signatures with Attack Studies, International Conference on Web Information Systems and Technologies: Internet Technology/Web Interface and Applications, Portugal, ISBN 978-972-8865-46-7, pp. 97–100, 2006Search in Google Scholar

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

[19] Nicolae Constantinescu, Authentication hierarchy based on blind signature, Journal of Knowledge Communication and Computing Technologies, Vol. 1(1), pp. 77–84, 2010.Search in Google Scholar

[20] A. J. Menezes, P. C. van Oorschot, and S. A. Vanstone, Handbook of Applied Cryptography, 5th Ed. CRC Press, 2001Search in Google Scholar

[21] D. Yong, G. Feng, High speed modular divider based on GCD algorithm over GF(2m), Journal on Communications, Vol. 29(10), pp. 199–204, oct. 2008Search in Google Scholar

[22] Emil Simion and Nicolae Constantinescu, Complexity Computations in Code Cracking Problems, Concurrent Engineering in Electronic Packaging, IEEE Communication, may 05-09, pp. 225–232, ISSE 2001Search in Google Scholar

[23] N. Smart, How secure are elliptic curves over composite extension fields?, EUROCRYPT 2001, Vol. 2045 of Lecture Notes in Computer Science, Springer-Verlag, pp. 30–39, 200110.1007/3-540-44987-6_3Search in Google Scholar