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Improved Information Set Decoding - Decoding Random Linear ...

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Wrapping up so far<br />

●<br />

Different methods search for different error-distributions<br />

● Lee-Brickel (1988)<br />

p<br />

w-p<br />

● Stern (1989)<br />

p/2 p/2 0 w-p<br />

●<br />

Recently: Ball-collision decoding (CRYPTO11) by Bernstein et al.<br />

●<br />

Improving Pr[good rand.] by allowing q extra 1's within the<br />

length l zero-window<br />

● F(k) ≤ 0.05558<br />

p/2 p/2 q/2 q/2 w-p-q<br />

●<br />

Both Stern and BallColl improve runtime at the cost of increased<br />

space consumption (→ see paper for details)<br />

IMPROVED INFORMATION SET DECODING ASIACRYPT 2011 | December 2011, Seoul

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