Welcome to the resource topic for 2015/319
Title:
Point Decomposition Problem in Binary Elliptic Curves
Authors: Koray Karabina
Abstract:We analyze the point decomposition problem (PDP) in binary elliptic curves. It is known that PDP in an elliptic curve group can be reduced to solving a particular system of multivariate non-linear system of equations derived from the so called Semaev summation polynomials. We modify the underlying system of equations by introducing some auxiliary variables. We argue that the trade-off between lowering the degree of Semaev polynomials and increasing the number of variables provides a significant speed-up.
ePrint: https://eprint.iacr.org/2015/319
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