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

September 11, 2024 Β· Declared Dead Β· πŸ› IACR Cryptology ePrint Archive

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Authors Robert Hines arXiv ID 2409.07616 Category cs.CR: Cryptography & Security Cross-listed math.NT Citations 0 Venue IACR Cryptology ePrint Archive Last Checked 4 months ago
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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