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A Quantum-safe Key Exchange Scheme using Mihailova Subgroups in Braid groups
Han-Hsuan Lin, Yu Han·January 26, 2026
Mathematics
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Abstract
In this paper,we propose a modified Anshel-Anshel-Goldfeld(AAG) key exchange scheme. The hardness assumption underlying this modified construction is based on the membership problem for Mihailova subgroups of the braid group, a problem that is algorithmically unsolvable. According to the security analysis, we show that the proposed scheme is resistant to all known attacks, including quantum computational attacks.