2 papers
cs.CR2017
Scalar multiplication in compressed coordinates in the trace-zero subgroup
Giulia Bianco, Elisa Gorla
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…
math.NT2015
Compression for trace zero points on twisted Edwards curves
Giulia Bianco, Elisa Gorla
We propose two optimal representations for the elements of trace zero subgroups of twisted Edwards curves. For both representations, we provide efficient compression and decompress…