Classification of poset-block spaces admitting MacWilliams-type identity

Jerry Anderson Pinheiro; Marcelo Firer

doi:10.1109/tit.2012.2210192

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arXiv · 1202.6409

Classification of poset-block spaces admitting MacWilliams-type identity

Jerry Anderson Pinheiro·Marcelo Firer

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Abstract

In this work we prove that a poset-block space admits a MacWilliams-type identity if and only if the poset is hierarchical and at any level of the poset, all the blocks have the same dimension. When the poset-block admits the MacWilliams-type identity we explicit the relation between the weight enumerators of a code and its dual.

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Jerry Anderson Pinheiro, Marcelo Firer. 2012-02-28. Classification of poset-block spaces admitting MacWilliams-type identity. https://doi.org/10.1109/tit.2012.2210192

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