Grant: Discovery Grants Program - Individual

My research is mostly on Hadamard matrices and their applications. Did we ever wonder how pictures from a very long distance are transmitted? The high quality colour pictures that we have seen from other planets are transmitted using very sophisticated mathematically based technologies. Any digitally transmitted data is subject to errors. In order to minimize the errors, the data are coded before transmission and decoded after retrieval. Similar sort of technologies are used in storing data on CD's and DVD's. Hadamard matrices provide the best coding and decoding technique in theory and practice. There is much more to learn and discover about Hadamard matrices though. For example, the anticipated revolution in computing due to quantum technologies depends in part on a better understanding of the structure of Hadamard matrices. Together with my research collaborators we strive to be a part of this endeavor.