×

Bounds on ordered codes and orthogonal arrays. (English) Zbl 1220.05135

Summary: We derive new estimates of the size of codes and orthogonal arrays in the ordered Hamming space (the Niederreiter-Rosenbloom-Tsfasman space). We also show that the eigenvalues of the ordered Hamming scheme, the association scheme that describes the combinatorics of the space, are given by the multivariate Krawtchouk polynomials, and establish some of their properties.

MSC:

05E30 Association schemes, strongly regular graphs
94B65 Bounds on codes
PDFBibTeX XMLCite
Full Text: arXiv Link