Improved Information Set Decoding - Decoding Random Linear ...
Improved Information Set Decoding - Decoding Random Linear ...
Improved Information Set Decoding - Decoding Random Linear ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
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