Classification of poset-block spaces admitting MacWilliams-type identity

Details Classification of poset-block spaces admitting MacWilliams-type identity Classification of poset-block spaces admitting MacWilliams-type identity

2012-02-28

arxiv.org/abs/1202.6409v1

Computer Science

Information Theory

8 pages, 1 figure. Submitted to IEEE Transactions on Information Theory

Scientific paper

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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