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Efficient Inversion In (Pseudo-)Mersenne Prime Order Fields
finite fields inversion multiplication
2018/11/5
Efficient scalar multiplication algorithms require a single finite field inversion at the end to convert from projective to affine coordinates. This inversion consumes a significant proportion of the ...
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
four-dimensional decompositions Mersenne prime
2015/12/29
We introduce FourQ, a high-security, high-performance elliptic curve that targets the 128-
bit security level. At the highest arithmetic level, cryptographic scalar multiplications on FourQ can use
...