@inproceedings{8d11e4e559c740efb5ff77cc263019af,
title = "A novel RSA-like cryptosystem based on a generalization of the R{\'e}dei rational functions",
abstract = "In this paper we present a novel RSA-like cryptosystem. Specifically, we define a novel product that arises from a cubic field connected to the cubic Pell equation. We discuss some interesting properties and remarks about this product that can also be evaluated through a generalization of the R{\'e}dei rational functions. We then exploit these results to construct a novel RSA-like scheme that is more secure than RSA in broadcast applications. Moreover, our scheme is robust against the Wiener attack and against other kind of attacks that exploit the knowledge of a linear relation occurring between two plaintexts.",
keywords = "Cubic Pell equation, Public cryptography, RSA, R{\'e}dei function",
author = "Nadir Murru and Saettone, {Francesco M.}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2018.; 1st International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2017 ; Conference date: 11-09-2017 Through 13-09-2017",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-319-76620-1_6",
language = "English",
isbn = "9783319766195",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "91--103",
editor = "Josef Pieprzyk and Josef Pieprzyk and Jerzy Kaczorowski and Jacek Pomyka{\l}a",
booktitle = "Number-Theoretic Methods in Cryptology - 1st International Conference, NuTMiC 2017, Revised Selected Papers",
address = "Germany",
}