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Point Decomposition Problem in Binary Elliptic Curves
April 09, 2015 Β· Declared Dead Β· π International Conference on Information Security and Cryptology
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Authors
Koray Karabina
arXiv ID
1504.02347
Category
cs.CR: Cryptography & Security
Cross-listed
math.NT
Citations
12
Venue
International Conference on Information Security and Cryptology
Last Checked
4 months ago
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 is worth.
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