In coding theory, the dual code of a linear code
is the linear code defined by
where
is a scalar product. In linear algebra terms, the dual code is the annihilator of C with respect to the bilinear form <,>. The dimension of C and its dual always add up to the length n:
A generator matrix for the dual code is a parity-check matrix for the original code and vice versa. The dual of the dual code is always the original code.
Read more about Dual Code: Self-dual Codes
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