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Some applications of arithmetic groups in cryptography

Some applications of arithmetic groups in cryptography 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 SLn⁢(ℤ⁢[x]){\mathrm{SL}_{n}(\mathbb{Z}[x])}which can be utilized for the same purpose. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups Complexity Cryptology de Gruyter

Some applications of arithmetic groups in cryptography

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Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6104
eISSN
1869-6104
DOI
10.1515/gcc-2019-2002
Publisher site
See Article on Publisher Site

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 SLn⁢(ℤ⁢[x]){\mathrm{SL}_{n}(\mathbb{Z}[x])}which can be utilized for the same purpose.

Journal

Groups Complexity Cryptologyde Gruyter

Published: May 1, 2019

References