An Application of Nodal Curves
Cryptography and Security
2022-06-14 v1 Information Theory
math.IT
Number Theory
Abstract
In this work, we present an efficient method for computing in the generalized Jacobian of special singular curves, nodal curves. The efficiency of the operation is due to the representation of an element in the Jacobian group by a single polynomial. In addition, we propose a probabilistic public key algorithm as an application of nodal curves.
Keywords
Cite
@article{arxiv.2206.06261,
title = {An Application of Nodal Curves},
author = {Selin Caglar and Kubra Nari and Enver Ozdemir},
journal= {arXiv preprint arXiv:2206.06261},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1904.03978