TY - JOUR
T1 - Hamming graphs in Nomura algebras
AU - Chan, Ada
AU - Munemasa, Akihiro
N1 - Funding Information:
Corresponding author. E-mail addresses: [email protected] (A. Chan), [email protected] (A. Munemasa). 1 The first author gratefully acknowledges the support from a JSPS postdoctoral fellowship and a NSERC discovery grant.
PY - 2011/7/15
Y1 - 2011/7/15
N2 - Let A be an association scheme on q ≥ 3 vertices. We show that the Bose-Mesner algebra of the generalized Hamming scheme H(n,A), for n ≥ 2, is not the Nomura algebra of any type II matrix. This result gives examples of formally self-dual Bose-Mesner algebras that are not the Nomura algebras of type II matrices.
AB - Let A be an association scheme on q ≥ 3 vertices. We show that the Bose-Mesner algebra of the generalized Hamming scheme H(n,A), for n ≥ 2, is not the Nomura algebra of any type II matrix. This result gives examples of formally self-dual Bose-Mesner algebras that are not the Nomura algebras of type II matrices.
KW - Duality of association scheme
KW - Hamming scheme
KW - Nomura algebra
KW - Type II matrix
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U2 - 10.1016/j.laa.2011.01.020
DO - 10.1016/j.laa.2011.01.020
M3 - Article
AN - SCOPUS:79952773283
SN - 0024-3795
VL - 435
SP - 330
EP - 341
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 2
ER -