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Guruswami–Sudan list decoding algorithm : ウィキペディア英語版
Guruswami–Sudan list decoding algorithm

In coding theory, list decoding is an alternative to unique decoding of error-correcting codes for large error rates. Using unique decoder one can correct up to \delta / 2 fraction of errors. But when error rate is greater than \delta / 2 , unique decoder will not able to output the correct result. List decoding overcomes that issue. List decoding can correct more than \delta / 2 fraction of errors.
There are many efficient algorithms that can perform List decoding. list decoding algorithm for Reed–Solomon (RS) codes by Sudan which can correct up to 1 - \sqrt errors is given first. Later on more efficient GuruswamiSudan list decoding algorithm, which can correct up to 1 - \sqrt errors is discussed.
Here is the plot between rate R and distance \delta for different algorithms.
https://wiki.cse.buffalo.edu/cse545/sites/wiki.cse.buffalo.edu.cse545/files/81/Graph.jpg
== Algorithm 1 (Sudan's list decoding algorithm) ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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