Standard array: Difference between revisions

Revision as of 06:48, 25 February 2008

Revision as of 00:28, 26 February 2008

Line 3:

== Definition ==

A standard array for an [''n'',''k'']-code is a <math>q^{n-k}</math> by <math>q^{k}</math> array where:

# The first row lists all [[codewords]] (with the <u>0</u> codeword on the extreme left)

Line 9:

# The entry in the i-th row and j-th column is the sum of the i-th coset leader and the j-th codeword.

For example, the [''n'',''k'']-code <math>C_{3}</math> = {00000, 01101, 10110, 11011} has the following standard array:

{| class="wikitable"