Bounds on ordered codes and orthogonal arrays

— We prove several new bounds on ordered codes and ordered orthogonal arrays. We also show that the eigenvalues of the ordered Hamming scheme are the multivariable Krawtchouk polynomials and establish some of their properties.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Alexander Barg, Punarbasu Purkayastha
• Keywords: CORR 2007, Education, Hamming Scheme, Multivariable Krawtchouk Polynomials, Orthogonal Arrays