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Local duality for equitable partitions of a Hamming space
Title
Local duality for equitable partitions of a Hamming space
Authors
Hyun J.Y.
Ewha Authors
현종윤
SCOPUS Author ID
현종윤
Issue Date
2012
Journal Title
Journal of Combinatorial Theory. Series A
ISSN
0097-3165
Citation
Journal of Combinatorial Theory. Series A vol. 119, no. 2, pp. 476 - 482
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
The Hamming space Qn is the set of binary words of length n. A partition (C1, C2,..., Cr) of Qn with quotient matrix B=[bij]r×r is equitable if for all i and j, any word in the cell Ci has exactly bij neighbors in the cell Cj. In this paper, we provide an explicit formula relating the local spectrum of cells in the face to that in the orthogonal face. © 2011 Elsevier Inc.
DOI
10.1016/j.jcta.2011.10.006
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