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
2 and coding
theory are necessary for this activity.
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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. 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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