Some applications of arithmetic groups in cryptography

Delaram Kahrobaei; Keivan Mallahi-Karai

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arXiv · 1803.11528

Some applications of arithmetic groups in cryptography

Delaram Kahrobaei·Keivan Mallahi-Karai

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Abstract

In this paper we will give various examples of exponentially distorted subgroups in linear groups, including some new example of subgroups of $SL_n(\mathbb{Z}[x])$ for $n \ge 3$, and show how they can be used to construct symmetric-key cryptographic platforms.

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Delaram Kahrobaei, Keivan Mallahi-Karai. 2018-03-30. Some applications of arithmetic groups in cryptography. https://arxiv.org/abs/1803.11528

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