--- 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
The most recent version
This page is not in its usual appearance because WIMS is unable to recognize your
Please take note that WIMS pages are interactively generated; they are not ordinary
HTML files. They must be used interactively ONLINE. It is useless
for you to gather them through a robot program.
- Description: decode a message containing errors by an error correcting code. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games
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