Public-key encryption from a trapdoor one-way embedding of $SL_2(\mathbb{N}$)

Robert Hines

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arXiv · 2409.07616

Public-key encryption from a trapdoor one-way embedding of $SL_2(\mathbb{N}$)

Robert Hines

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Abstract

We obfuscate words of a given length in a free monoid on two generators with a simple factorization algorithm (namely $SL_2(\mathbb{N})$) to create a public-key encryption scheme. We provide a reference implementation in Python and suggested parameters. The security analysis is between weak and non-existent, left to future work.

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Robert Hines. 2024-09-11. Public-key encryption from a trapdoor one-way embedding of $SL_2(\mathbb{N}$). https://arxiv.org/abs/2409.07616

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