New Advances in Designs, Codes and Cryptography

This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible surveys of topics in combinatorial designs and related topics, ranging from a tutorial survey of connections to classical group theory, to surveys of "hot topics" in current research. It also contains a prospective paper identifying topics for future research efforts, co-authored by one of the elder statesmen of the field, Alex Rosa. Finally, the research papers examine topics ranging from pure mathematics to applied work in computing, networking, communications, and cryptography. For students and newcomers to these topics, the volume provides accessible survey material that does not have onerous prerequisites. The breadth of topics reflects the vibrancy of the field in a way that can be appreciated by all researchers. The papers present important advances on theory and applications, which also benefit advanced researchers.

Autorentext

Charles J. Colbourn is a Professor of Computer Science and Engineering at Arizona State University. He earned his MMath at the University of Waterloo, Canada (1978) and his PhD at the University of Toronto, Canada (1980). With Alex Rosa, he co-authored the book Triple Systems (Oxford University Press, 1999). He is the President of the Institute of Combinatorics and its Applications. His research concerns the theory of combinatorial designs and their many applications in computing, communications, networking, coding, and experimental design. Jeffrey H. Dinitz is an Emeritus Professor of Mathematics and Statistics at the University of Vermont. He earned his BS in mathematics at Carnegie Mellon University (1974) and his PhD in mathematics at The Ohio State University (1980). He has been a member of the Department of Mathematics and Statistics at the University of Vermont since 1980, becoming emeritus in 2019. He co-edited the Handbook of Combinatorial Designs (2007) with Charles Colbourn. His research interests lie in areas of combinatorial designs (Latin squares, Room squares, Heffter arrays, etc.) and applications, including to computing and scheduling. In 2001 he designed the schedule of play for the XFL football league.