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Improved Information Set Decoding - Decoding Random Linear ...

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Basic <strong>Information</strong> <strong>Set</strong> <strong>Decoding</strong><br />

Fundamental principle:<br />

●<br />

<strong>Random</strong>ization: transform H into column-permuted<br />

systematic form<br />

H → Q<br />

T(n,k,d) = Pr[“good” randomization] -1 x C[Search]<br />

● Search phase: Try to fnd solution e = weight w , i.e.<br />

I n-k<br />

weight w<br />

Q<br />

I n-k<br />

=<br />

s<br />

●<br />

If no solution found: Rerandomize and try again!<br />

IMPROVED INFORMATION SET DECODING ASIACRYPT 2011 | December 2011, Seoul

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