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Sociedade Brasileira de Telecomunicações

Identidades do tipo MacWilliams para métricas de Lee


MacWilliams-type identities for linear codes over Zl endowed with the Lee metric are identities relating the Lee weight distributions of codes and its duals. In this work we analyze the smallest instance: Z5, for which the existence of MacWilliamstype identities is an open problem. We show that when restricted to unidimensional codes over Z5, MacWilliams-type identities can be obtained. However, we conclude, using a 2-dimensional example, that Z5 does not admit such identities

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