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 />
Find e'= p/2 p/2<br />
with<br />
Qe'=s' on frst l coordinates, i.e.<br />
p/2 p/2<br />
q 1<br />
, … , q k<br />
Q'<br />
via standard sort & match<br />
=<br />
s'<br />
*<br />
:<br />
*<br />
∑ q i<br />
i∈I 1<br />
match<br />
∑ q i s '<br />
i∈I 2<br />
I 1 ⊂[1, , k 2 ] I 2⊂[ k 2 1,, k ]<br />
IMPROVED INFORMATION SET DECODING ASIACRYPT 2011 | December 2011, Seoul