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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 ⟨ ⋅ ⟩ {\displaystyle \langle \cdot \rangle }. The dimension of C and its dual always add up to the length n:

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