| Title | Algebraic structure of parametric elliptic curves |
| Publication Type | Conference Paper |
| Year of Publication | 2021 |
| Authors | Ahmedova, Oydin, Mardiyev, Ulugbek, Tursunov, Otabek, Olimov, Iskandar |
| Conference Name | 2021 International Conference on Information Science and Communications Technologies (ICISCT) |
| Keywords | Communications technology, Complexity theory, composability, Computers, Diffie-Hellman, discrete logarithm, elliptic curve, Elliptic curve cryptography, Elliptic curves, information science, Metrics, parametric algebra, pubcrawl, resilience, Resiliency, Resistance, Scalability |
| Abstract | The advantage of elliptic curve (EC) cryptographic systems is that they provide equivalent security even with small key lengths. However, the development of modern computing technologies leads to an increase in the length of keys. In this case, it is recommended to use a secret parameter to ensure sufficient access without increasing the key length. To achieve this result, the initiation of an additional secret parameter R into the EC equation is used to develop an EC-based key distribution algorithm. The article describes the algebraic structure of an elliptic curve with a secret parameter. |
| DOI | 10.1109/ICISCT52966.2021.9670264 |
| Citation Key | ahmedova_algebraic_2021 |
Algebraic structure of parametric elliptic curves