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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.18287 |
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| _version_ | 1866910000940580864 |
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| author | Lin, Hanling Han, Yu |
| author_facet | Lin, Hanling Han, Yu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18287 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Quantum-safe Key Exchange Scheme using Mihailova Subgroups in Braid groups Lin, Hanling Han, Yu Group Theory 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. |
| title | A Quantum-safe Key Exchange Scheme using Mihailova Subgroups in Braid groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2601.18287 |