Linear code

Linear equivalence of codes

Let be linear codes. Then are said to be linearly equivalent iff there exists a monomial transformation such that .¹ code Equivalently, generator matrices of respectively are related by permutation and rescaling of columns.

Properties

• MacWilliams theorem

See also

• Automorphism group of a linear code

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Footnotes

1. 2011. On the equivalence of linear codes ↩