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 #m/def/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 #state/tidy | #lang/en | #SemBr Footnotes 2011. On the equivalence of linear codes ↩