Some applications of arithmetic groups in cryptography

DOI10.1515/gcc-2019-2002zbMath1432.11041arXiv1803.11528OpenAlexW2963811186WikidataQ128038625 ScholiaQ128038625MaRDI QIDQ2304869

Delaram Kahrobaei, Keivan Mallahi Karai

Publication date: 13 March 2020

Published in: Groups, Complexity, Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.11528

zbMATH Keywords

arithmetic groupssymmetric key cryptographydistorted subgroups

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Structure of modular groups and generalizations; arithmetic groups (11F06)

Cites Work

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• An algebraic method for public-key cryptography
• Efficient and secure delegation to a single malicious server: exponentiation over non-abelian groups
• Cryptosystems using linear groups
• Navigating in the Cayley graphs of \(\text{SL}_N(\mathbb{Z})\) and \(\text{SL}_N(\mathbb{F}_p)\).
• Theory of braids
• The word and Riemannian metrics on lattices of semisimple groups

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