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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...
Index Calculus in Class Groups of Plane Curves of Small Degree
Index Calculus Class Groups Plane Curves Small Degree
2009/2/5
We present a novel index calculus algorithm for the discrete
logarithm problem (DLP) in degree 0 class groups of curves over finite
fields. A heuristic analysis of our algorithm indicates that asymp...