Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption

• URL: http://arxiv.org/abs/2504.10747v1
• Date: Mon, 14 Apr 2025 22:39:40 GMT
• Title: Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption
• Authors: Gennady Khalimov, Yevgen Kotukh,
• Abstract summary: We enhance the Hermitian function field-based encryption scheme with homomorphic encryption capabilities.<n>Both the attack complexity and the encrypted message size are directly correlated with the order of the group.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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