Let S be the set of all codes over Fq of length n.LetC1, C2∈ S.DefineC1∼C2to mean...

Let S be the set of all codes over Fq of length n.LetC1, C2∈ S.DefineC1∼C2to mean that there exists an n×n monomial matrix M such that C1=M C2.Probe that∼is an equivalence relation on S.LetC1, C2such that C1∼C2. Do C1 and C2have the same dimension?,length?, minimum distance?, if C1is self-orthogonal, is also C1 self-orthogonal?.

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Colby Messinger answered 2 years ago

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Let S be the set of all codes over Fq of length n.LetC1, C2∈ S.DefineC1∼C2to mean...

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