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cs.CR2014
An optimal representation for the trace zero subgroup
Elisa Gorla, Maike Massierer
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 e…
cs.CR2014
Index Calculus in the Trace Zero Variety
Elisa Gorla, Maike Massierer
We discuss how to apply Gaudry's index calculus algorithm for abelian varieties to solve the discrete logarithm problem in the trace zero variety of an elliptic curve. We treat in…