Title :
Bounds on ordered codes and orthogonal arrays
Author :
Barg, A. ; Purkayastha, P.
Author_Institution :
Univ. of Maryland, College Park
Abstract :
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.
Keywords :
Hamming codes; eigenvalues and eigenfunctions; orthogonal codes; polynomials; eigenvalues; multivariable Krawtchouk polynomials; ordered Hamming scheme; ordered codes; orthogonal arrays; Additives; Decoding; Educational institutions; Eigenvalues and eigenfunctions; Hamming distance; Integral equations; Polynomials; Reed-Solomon codes; Shape;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557247
