Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption
Cryptography and Security
2025-04-16 v1 Group Theory
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.
Cite
@article{arxiv.2504.10747,
title = {Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption},
author = {Gennady Khalimov and Yevgen Kotukh},
journal= {arXiv preprint arXiv:2504.10747},
year = {2025}
}