Some applications of arithmetic groups in cryptography
Abstract
In 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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 01, 2019
- Source ID
- 10.1515/gcc-2019-2002
Entities
People
- Delaram Kahrobaei
- Keivan Mallahi-karai
Organizations
- Jacobs University Bremen
- National Science Foundation
- Office of Naval Research
- University of York