Correcode
--- Introduction ---
Correcode is an exercise on the principle of codes allowing the
correction of transmission errors.
This principle is as follows.
Ce principe est le suivant. For two words of the same length of a (binary)
code, one define their Hamming distance by the number of bits (places) where
the first word is different from the second.
If all the words of a code have a Hamming distance of at least 2k+1 from
each other, then a word containing at most k erroneous bits is
``correctible'', as one can replace it by the code word nearest to it. And
if the Hamming distance is at least 2k, one can correct words containing
at most k-1 errors, as well as detect words containing k errors.
This exercise will therefore give you a code as well as a coded message
containing errors. And you should decode this message, correcting
correctible errors.
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- Description: decode a message containing errors by an error correcting code. Plateforme WIMS d'exercices interactifs et gratuits à données aléatoires avec feedback et corrections automatiques de l'enseignement secondaire au supérieur hébergée par le rectorat de l'académie de Versailles
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