Stronger bounds on the cost of computing Gröbner bases for HFE systems
Abstract
We give upper bounds for the solving degree and the last fall degree
of the polynomial system associated to the HFE (Hidden Field Equations) cryptosystem.
Our bounds improve the known bounds for this type of systems. We
also present new results on the connection between the solving degree and the
last fall degree and prove that, in some cases, the solving degree is independent
of coordinate changes.
Origin : Files produced by the author(s)
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