A novel approach for Menezes-Vanstone elliptic curve cryptosystem
*Pankaj KakatiCorresponding authorpankaj07kakati@gmail.comDepartment of Mathematics Jagannath Barooah CollegeJorhat, Assam, 785001, India0000-0003-1786-4457View full profile → , Nayan Jyoti Bordoloinayanjyotibordoloi.jrt@gmail.comDepartment of Mathematics Jagannath Barooah CollegeJorhat, Assam, 785001, India0009-0000-7774-1155View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 21 Feb 2024
- Published Online:
- 18 Apr 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2257
- Pages:
- 981–990
Abstract
Keywords
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References
[1] O. A. Imran, S. F. Yousif, I. S. Hameed, W. N. A. D. Abed, and A. T. Hammid, “Implementation of el-gamal algorithm for speech signals encryption and decryption,” Procedia Computer Science, vol. 167, pp. 1028–1037 (2020).
[2] V. S. Miller, “Use of elliptic curves in cryptography,” in Conference on the theory and application of cryptographic techniques, pp. 417–426, Springer (1985).
[3] N. Koblitz, “Elliptic curve cryptosystems,” Mathematics of computation, vol. 48, no. 177, pp. 203–209 (1987).
[4] D. Dachman-Soled, J. Loss, and A. O’Neill, “Breaking rsa generically is equivalent to factoring, with preprocessing,” Cryptology ePrint Archive (2022).
[5] D. S. Sakkari and M. M. ulla, “Review on insight into elliptic curve cryptography,” in Modern Approaches in Machine Learning & Cognitive Science: A Walkthrough, pp. 81–93, Springer (2022).
[6] E. B. Barker, W. C. Barker, W. E. Burr, W. T. Polk, and M. E. Smid, “Recommendation for key management, part 1: General (revision 3),” (2006).
[7] S. S. Dhanda, B. Singh, and P. Jindal, “Demystifying elliptic curve cryptography: Curve selection, implementation and countermeasures to attacks,” Journal of Interdisciplinary Mathematics, vol. 23, no. 2, pp. 463–470 (2020).
[8] Q. M. Luhaib and R. K. K. Ajeena, “Elliptic curve matrices over group ring to improve elliptic curve–discrete logarithm cryptosystems,” Journal of Discrete Mathematical Sciences & Cryptography, vol. 26, no. 6, pp. 1699–1704 (2022).
[9] A. J. Menezes and S. A. Vanstone, “Elliptic curve cryptosystems and their implementation,” Journal of cryptology, vol. 6, pp. 209–224 (1993).
[10] W. Stallings, Cryptography and network security, 4/E. Pearson Education India, 2006.
[11] A. M. Sagheer, “Elliptic curves cryptographic techniques,” in 2012 6th International Conference on Signal Processing and Communication Systems, pp. 1–7, IEEE (2012).
[12] N. H. Al-Saffar, M. R. M. Said, and M. Rushdan, “On the mathematical complexity and the time implementation of proposed variants of elliptic curves cryptosystems,” International Journal of Cryptology Research, vol. 4, no. 1, pp. 42–54 (2013).
[13] K. Meltem and Y. Tarik, “A new modified cryptosystem based on menezes vanstone elliptic curve cryptography algorithm that uses characters hexadecimal values,” in 2013 The International Conference on Technological Advances in Electrical, Electronics and Computer Engineering, pp. 449–453, IEEE (2013).
[14] A. T. Sadiq and N. J. Kadhim, “Enhanced menezes-vanestone elliptic curves cryptosystem,” Al Nahrain Journal of Science, vol. 12, no. 1, pp. 162–165 (2009).
[15] D. Hankerson, A. J. Menezes, and S. Vanstone, Guide to elliptic curve cryptography. Springer Science & Business Media (2004).
[16] G. Barwood, “Elliptic curve cryptography faq v1. 12 22nd,” (1997).
[17] H. Cohen, G. Frey, R. Avanzi, C. Doche, T. Lange, K. Nguyen, and F. Vercauteren, Handbook of elliptic and hyperelliptic curve cryptography. CRC press (2005).
[18] J. H. Silverman, The arithmetic of elliptic curves, vol. 106. Springer (2009).
[19] L. C. Washington, Elliptic curves: number theory and cryptography. Chapman and Hall/CRC (2008).
[20] A. K. Bhandari, D. Nagaraj, B. Ramakrishnan, and T. Venkataramana, Elliptic curves, modular forms and cryptography: proceedings of the Advanced Instructional Workshop on Algebraic Number Theory. Springer (2003).
[21] L. Chen, D. Moody, A. Regenscheid, and K. Randall, “Recommendations for discrete logarithmbased cryptography: Elliptic curve domain parameters,” tech. rep., National Institute of Standards and Technology (2019).
