Title :
Classification of Poset-Block Spaces Admitting MacWilliams-Type Identity
Author :
Pinheiro, Jerry Anderson ; Firer, Marcelo
Author_Institution :
Inst. of Math., Stat., & Sci. Comput., State Univ. of Campinas, Campinas, Brazil
Abstract :
In this paper, 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 explicitly state the relation between the weight enumerators of a code and its dual.
Keywords :
block codes; pattern classification; MacWilliams-type identity classification; Poset-block code spaces; weight enumerators; Block codes; Linear code; Measurement; Polynomials; Transforms; Vectors; MacWilliams identity; MacWilliams-type identity; poset-block codes; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2210192
