Homomorphic public-key cryptosystems over groups and rings
<|reference_start|>Homomorphic public-key cryptosystems over groups and rings: We propose a new homomorphic public-key cryptosystem over arbitrary nonidentity finite group based on the difficulty of the membership problem for groups of integer matrices. Besides, a homomorphic cryptosystem is designed for the first time over finite commutative rings.<|reference_end|>
@article{grigoriev2003homomorphic,
    title={Homomorphic public-key cryptosystems over groups and rings},
    author={Dima Grigoriev, Ilia Ponomarenko},
    journal={arXiv preprint arXiv:cs/0309010},
    year={2003},
    archivePrefix={arXiv},
    eprint={cs/0309010},
    primaryClass={cs.CR}
}