Cryptosystems using Linear Groups |
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Authors: | Gilbert Baumslag Benjamin Fine Xiaowei Xu |
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Affiliation: | (1) Department of Mathematics, City College of New York, New York, NY 10031, USA;(2) Department of Mathematics, Fairfield University, Fairfield, 06430, USA |
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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]. |
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Keywords: | Cryptosystem Free group Linear group Modular group Reidemeister-Schreier Process |
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