Improved Information Set Decoding - Decoding Random Linear ...
Improved Information Set Decoding - Decoding Random Linear ...
Improved Information Set Decoding - Decoding Random Linear ...
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Classical ISD variants<br />
Stern (1989)<br />
●<br />
Meet-in-the-middle on Q<br />
p/2 p/2 0 w - p<br />
k/2 k/2 l n-k-l<br />
q 1<br />
, … , q k<br />
Q'<br />
I n-k<br />
= s<br />
⇔<br />
s'<br />
*<br />
:<br />
*<br />
+<br />
s<br />
=<br />
0<br />
I n-k<br />
w - p<br />
T(n,k,d) = Pr[“good” randomization] -1 x 0C[MitM]<br />
⋅ <br />
n−k −l<br />
<br />
= e''<br />
= x k :<br />
p/2<br />
IMPROVED INFORMATION SET DECODING ASIACRYPT 2011 | December 2011, Seoul<br />
[<br />
<br />
k /<br />
⇔<br />
2<br />
p/<br />
*<br />
22<br />
w− p<br />
n w<br />
]−1<br />
*