Generating a check matrix includes defining a generator function operable
to yield check bits associated with a word. A set of primitive elements is calculated
from the generator function. A set of check matrix columns is generated, where
each check matrix column includes a matrix having a subset of the set of primitive
elements. A check matrix is generated from a subset of the set of check matrix
columns, where the check matrix yields a syndrome that comprises an error pattern
for the word. The check matrix is reported.
