Classification of poset-block spaces admitting MacWilliams-type identity
Information Theory
2014-11-05 v1 math.IT
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.
Cite
@article{arxiv.1202.6409,
title = {Classification of poset-block spaces admitting MacWilliams-type identity},
author = {Jerry Anderson Pinheiro and Marcelo Firer},
journal= {arXiv preprint arXiv:1202.6409},
year = {2014}
}
Comments
8 pages, 1 figure. Submitted to IEEE Transactions on Information Theory