See also
Coding Theory,
Dual Code,
Error-Correcting Code,
Linear
Code,
Parity Check Matrix
Portions of this entry contributed by David
Terr
Explore with Wolfram|Alpha
References
Roman, S. Coding and Information Theory. New York: Springer-Verlag, 1992.van
Lint, J. H. An
Introduction to Coding Theory, 2nd ed. New York: Springer-Verlag, 1992.Referenced
on Wolfram|Alpha
Generator Matrix
Cite this as:
Weisstein, Eric W., with contributions by David Terr. "Generator Matrix." From MathWorld--A
Wolfram Resource. https://mathworld.wolfram.com/GeneratorMatrix.html
Subject classifications
of a linear code 
is a matrix whose rows form a basis for 
, i.e., if 
, then every codeword 
of 
can be represented as
.
codewords are the binary sums of those rows.
