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.
This page is not in its usual appearance because WIMS is unable to recognize your
web browser.
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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