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VLSI Implementation of Double-Base Scalar Multiplication on a Twisted Edwards Curve with an Efficiently Computable Endomorphism
Multiple-precision arithmetic Pseudo-Mersenne prime
2015/12/30
The verification of an ECDSA signature requires a double-base scalar multiplication, an operation of the form k⋅G+l⋅Q where G is a generator of a large elliptic curve group of prime order ...
Pairing computation on curves with efficiently computable endomorphism and small embedding degree
elliptic curves pairings isogenies
2010/7/14
Scott uses an efficiently computable isomorphism in order to optimize pairing computation on a particular class of curves with embedding degree 2. He pointed out that pairing implementation becomes th...