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Scalar multiplication in compressed coordinates in the trace-zero subgroup
elliptic curve cryptography trace-zero subgroup
2017/9/18
We consider trace-zero subgroups of elliptic curves over a degree three field extension. The elements of these groups can be represented in compressed coordinates, i.e. via the two coefficients of the...
Point compression for the trace zero subgroup over a small degree extension field
trace zero variety efficient representation point compression
2016/1/25
Using Semaev’s summation polynomials, we derive a new equation for the Fqrational
points of the trace zero variety of an elliptic curve defined over Fq. Using this
equation, we produce an optimal-si...
An optimal representation for the trace zero subgroup
public-key cryptography elliptic curve cryptosystem
2016/1/9
We give an optimal-size representation for the elements of the trace zero subgroup
of the Picard group of an elliptic or hyperelliptic curve of any genus, with respect to a field
extension of any pr...