Standard array: Difference between revisions

Revision as of 19:17, 20 November 2009

Revision as of 19:17, 20 November 2009

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(Note that thisthe above is only one possibility for the standard array; had 00011 been chosen as the first [[coset leader]] of weight two, another standard array representing the code would have been constructed).

Note that the first row contains the <u>0</u> vector and the codewords of <math>C_{3}</math> (<u>0</u> itself being a codeword). Also, the leftmost column contains the vectors of [[Hamming_weight|minimum weight]] enumerating vectors of weight 1 first and then using vectors of weight 2. Note also that each possible vector in the vector space appears exactly once.