Revision as of 19:15, 20 November 2009 edit Deskana (talk \| contribs) Extended confirmed users 22,062 edits →Definition: remove the first part of the note. anyone familiar enough with mathematics to be studying coding theory can be assumed to know what the zero vector is ← Previous edit		Revision as of 19:17, 20 November 2009 edit undo Deskana (talk \| contribs) Extended confirmed users 22,062 edits m →Definition: fix Next edit →
Line 54: \|} (Note~~: Also note~~ that this is only one ~~such~~ 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.

Standard array: Difference between revisions