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

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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 Msuch 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 C1self-orthogonal?.

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