Mathematical Modeling of Group Authentication Based on Isogeny of Elliptic Curves
| Title | Mathematical Modeling of Group Authentication Based on Isogeny of Elliptic Curves |
| Publication Type | Conference Paper |
| Year of Publication | 2019 |
| Authors | Vagin, V. V., Butakova, N. G. |
| Conference Name | 2019 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus) |
| ISBN Number | 978-1-7281-0339-6 |
| Keywords | authentication, Complexity theory, Elliptic curve cryptography, Elliptic curves, graph theory, hierarchical group authentication scheme, Isogeny, isogeny graphs, mathematical modeling, message authentication, Metrics, postquantum systems, Protocols, pubcrawl, public key cryptography, quantum computing, Resiliency, Scalability, Task Analysis |
| Abstract | In this paper, we consider ways of organizing group authentication, as well as the features of constructing the isogeny of elliptic curves. The work includes the study of isogeny graphs and their application in postquantum systems. A hierarchical group authentication scheme has been developed using transformations based on the search for isogeny of elliptic curves. |
| URL | https://ieeexplore.ieee.org/document/8656991 |
| DOI | 10.1109/EIConRus.2019.8656991 |
| Citation Key | vagin_mathematical_2019 |
- message authentication
- Task Analysis
- Scalability
- Resiliency
- quantum computing
- public key cryptography
- pubcrawl
- Protocols
- postquantum systems
- Metrics
- authentication
- mathematical modeling
- isogeny graphs
- Isogeny
- hierarchical group authentication scheme
- graph theory
- Elliptic curves
- Elliptic curve cryptography
- Complexity theory