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DISTORTION MAPS FOR GENUS TWO CURVES
hyperelliptic curve cryptography pairings supersingular curves
2008/12/25
Distortion maps are a useful tool for pairing based cryptography.
Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1
is more complicated since the full torsion subgroup h...
ON THE EXISTENCE OF DISTORTION MAPS ON ORDINARY ELLIPTIC CURVES
cryptography Decision Diffie-Hellman
2008/11/13
An important problem in cryptography is the so called Decision Diffie-Hellman problem (henceforth abbreviated
DDH). The problem is to distinguish triples of the form (ga, gb, gab) from arbitrary trip...