Hamming complement
--- Introduction ---
Binary codes having a minimum distance equal to 3 are very
interesting, because they are the first codes allowing the correction
of transmission errors.
Binary codes having a minimum distance equal to 3 are very
interesting, because they are the first codes allowing the correction
of transmission errors.
You can have a training on this question. The
server will give you a `partial' code with several words, and it is up to
you to add other words to the code, as many as possible, while respecting
the minimum distance 3. And we assure you that each exercise proposed has at
least one solution which is linear or affine (but you are free to find other
solutions).
Knowledge on the geometry of the finite field
and coding theory are necessary for this activity.
The most recent version
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- Description: find a maximum of binary words respecting a given Hamming distance. 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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