Title :
Existence of one-dimensional perfect binary arrays
Author_Institution :
Beijing University of Posts & Telecommunications, Department of Information Engineering, Beijing, China
Abstract :
The close relationship between perfect binary arrays and higher-dimensional Hadamard matrices is determined in the letter. With this relationship we have proved that there exists no one-dimensional perfect binary array with energy greater than four. We conjecture that this relationship may be helpful for the study of other higher-dimensional perfect binary arrays.
Keywords :
information theory; energy greater than four; higher-dimensional Hadamard matrices; higher-dimensional perfect binary arrays; information theory; one-dimensional perfect binary arrays;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19870885
