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Self-dual code

In coding theory, the dual code of a linear codeC⊂Fqn{\displaystyle C\subset \mathbb {F} _{q}^{n}}is the linear code defined by C⊥={x∈Fqn∣⟨x,c⟩=0∀c∈C}{\displaystyle C^{\perp }=\{x\in \mathbb {F} _{q}^{n}\mid \langle x,c angle =0\;\forall c\in C\}}where ⟨x,c⟩=∑i=1nxici{\displaystyle \langle x,c angle =\sum _{i=1}^{n}x_{i}c_{i}}is a scalar product.

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