MNT Elliptic Curves with Non-Prime Order
<|reference_start|>MNT Elliptic Curves with Non-Prime Order: Miyaji, Nakabayashi, and Takano proposed the algorithm for the construction of prime order pairing-friendly elliptic curves with embedding degrees $k=3,4,6$. We present a method for generating generalized MNT curves. The order of such pairing-friendly curves is the product of two prime numbers.<|reference_end|>
@article{grześkowiak2024mnt,
    title={MNT Elliptic Curves with Non-Prime Order},
    author={Maciej Grze'skowiak},
    journal={arXiv preprint arXiv:2409.20254},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.20254},
    primaryClass={cs.CR math.NT}
}