Some applications of arithmetic groups in cryptography-Reference-Cited by-同舟云学术

Some applications of arithmetic groups in cryptography

Published:2019-05-01 Issue:1 Volume:11 Page:25-33
ISSN:1869-6104
Container-title:Groups Complexity Cryptology
language:
Short-container-title:

Author:

Kahrobaei Delaram¹,Mallahi-Karai Keivan²

Affiliation:

1. Department of Computer Science, University of York, York, United Kingdom; and CUNY Graduate Center, PhD Program in Computer Science, The City University of New York, Computer Science and Engineering Department, New York University, New York, USA

2. Department of Mathematics, Jacobs University, 28759Bremen, Germany

Abstract

AbstractIn this paper, we will offer a new symmetric-key cryptographic scheme which is based on the existence of exponentially distorted subgroups in arithmetic groups. Aside from this, we will also provide new examples of distorted subgroups in

{\mathrm{SL}_{n}(\mathbb{Z}[x])}

which can be utilized for the same purpose.

Funder

Office of Naval Research

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Computer Networks and Communications

Link

https://www.degruyter.com/downloadpdf/journals/gcc/11/1/article-p25.xml

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