--- Introduction ---

It is therefore very important to find such codes which are as efficient as possible, that is, for a fixed code length, find a code composed of as many words as possible, while respecting the minimum distance among the words.

With **Hamming complement**, 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

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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: Find a maximum of binary words respecting a given Hamming distance. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, coding, Hamming distance, cyclic code, linear code, error correcting code