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A new elliptic curve point compression method based on Fp-rationality of some generalized Kummer surfaces
elliptic cryptography point compression Barreto-Naehrig curves
2019/9/19
In the article we propose a new compression method (to 2log2(p)+32log2(p)+3 bits) for the Fp2Fp2-points of an elliptic curve Eb:y2=x3+bEb:y2=x3+b (for b∈F∗p2b∈Fp2∗) of jj-invariant ...
Computing supersingular isogenies on Kummer surfaces
Supersingular isogenies SIDH Kummer surface
2018/11/15
We apply Scholten's construction to give explicit isogenies between the Weil restriction of supersingular Montgomery curves with full rational 2-torsion over GF(p2)GF(p2) and corresponding abelian sur...
The arithmetic of characteristic 2 Kummer surfaces
arithmetic characteristic 2 Kummer surfaces
2009/6/3
The purpose of this paper is a description of a model of Kummer
surfaces in characteristic 2, together with the associated formulas
for the pseudo-group law. Since the classical model has bad reduct...