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Cryptosystems using Linear Groups
Authors:Gilbert Baumslag  Benjamin Fine  Xiaowei Xu
Affiliation:(1) Department of Mathematics, City College of New York, New York, NY 10031, USA;(2) Department of Mathematics, Fairfield University, Fairfield, 06430, USA
Abstract:Several suggestions are presented for developing cryptosystems, both classical and public key, using a combination of combinatorial group theory and linear groups. In particular, the Reidemeister-Schreier rewriting process is used as a one way function. These suggestions raise further questions concerning both implementation and security that are being explored in the thesis of Xu 16].
Keywords:Cryptosystem  Free group  Linear group  Modular group  Reidemeister-Schreier Process
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