Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912329001598976 |
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| author | Khalimov, Gennady Kotukh, Yevgen |
| author_facet | Khalimov, Gennady Kotukh, Yevgen |
| contents | This article proposes a comprehensive approach to implementing encryption schemes based on the automorphism group of the Hermitian function field. We utilize a three-parameter group with logarithmic representations outside the group's center. In this work, we enhance the Hermitian function field-based encryption scheme with homomorphic encryption capabilities, which constitutes a significant advantage of our implementation. Both the attack complexity and the encrypted message size are directly correlated with the order of the group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption Khalimov, Gennady Kotukh, Yevgen Cryptography and Security Group Theory This article proposes a comprehensive approach to implementing encryption schemes based on the automorphism group of the Hermitian function field. We utilize a three-parameter group with logarithmic representations outside the group's center. In this work, we enhance the Hermitian function field-based encryption scheme with homomorphic encryption capabilities, which constitutes a significant advantage of our implementation. Both the attack complexity and the encrypted message size are directly correlated with the order of the group. |
| title | Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption |
| topic | Cryptography and Security Group Theory |
| url | https://arxiv.org/abs/2504.10747 |