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arXiv · 2409.20254

MNT Elliptic Curves with Non-Prime Order

Maciej Grześkowiak
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Abstract

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.

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Maciej Grześkowiak. 2024-09-30. MNT Elliptic Curves with Non-Prime Order. https://doi.org/10.46298/fi.14373

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