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On the Security of MinRank - Inria

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Zero-dim solving<br />

Compute a DRL Gröbner basis<br />

Buchberger’s algorithm (1965)<br />

F 4 (J.-C. Faugère, 1999)<br />

F 5 (J.-C. Faugère, 2002)<br />

⇒ For a zero-dim system :<br />

O ( m 3·dreg ) ,<br />

d reg being <strong>the</strong> max. degree reached during <strong>the</strong> computation.<br />

Compute a LEX Gröbner basis by a FGLM change <strong>of</strong> ordering

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