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Solving discrete logarithms on a 170-bit MNT curve by pairing reduction
Discrete logarithm finite field number field sieve
2016/5/26
Pairing based cryptography is in a dangerous position following the breakthroughs on discrete logarithms computations in finite fields of small characteristic. Remaining instances are built over finit...
We compare both the security and performance issues related
to the choice of MNT curves against supersingular curves in characteristic
three, for pairing based systems. We pay particular attention
...
In their seminal paper, Miyaji, Nakabayashi and Takano [12]
describe a simple method for the creation of elliptic curves of prime order
with embedding degree 3, 4, or 6. Such curves are important fo...