Visible to the public Mathematical Modeling of Group Authentication Based on Isogeny of Elliptic Curves

TitleMathematical Modeling of Group Authentication Based on Isogeny of Elliptic Curves
Publication TypeConference Paper
Year of Publication2019
AuthorsVagin, V. V., Butakova, N. G.
Conference Name2019 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus)
Keywordsauthentication, 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
AbstractIn 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.
DOI10.1109/EIConRus.2019.8656991
Citation Keyvagin_mathematical_2019