Organizers
* Donald Mills (Southern
Illinois University at Carbondale)
Patrick Mitchell (Midwestern
State University)
Kent Neuerburg (Southeastern
Louisiana University)
* -- contact person
Description
Polynomials, particularly ones whose coefficients come from a finite field, find many uses in both coding theory and design theory. The use of certain polynomials is central to the formation of BCH, Goppa, and generalized Reed-Muller codes; Mattson-Solomon polynomials are used to determine the weight distributions of BCH and other cyclic codes; and Krawtchouk polynomials are used to estimate the distance distributions of certain codes and their duals, as well as provide bounds on the cardinalities of block codes of prescribed minimum distances over a given finite field. In design theory, polynomials, and in particular trace mappings, play a key role in the construction and description of cyclic difference sets, while Jacobi polynomials can be used to construct various forms of designs such as group divisible designs. Additionally, bivariate polynomials can be used to represent Latin squares. This Special Session will address the ways in which polynomials are being used to improve our understanding of coding and design-theoretic structures.
Speakers
Solomon Golomb (University
of Southern California)
Abstract
Shuhong Gao (Clemson University)
Abstract
Robert Calderbank (Princeton
University)
Abstract
James Davis (University of Richmond)
Abstract
Wen-Ching Li (Penn State University)
Abstract
Judy Walker (University of Nebraska)
Abstract
Edward Mosteig (Loyola
Marymount University)
Abstract
Pinaki Das (Penn State -
Altoona)
Abstract
Ralf Franken (University of Glasgow)
Abstract
Daniel Panario (Carleton University)
Abstract
Horacio Tapia-Recillas (Universidad
Autonoma Metropolitana-Iztapalapa)
Abstract
Robert Fitzgerald (Southern Illinois
University)
Abstract
John Little (College of the Holy
Cross)
Abstract
Joseph Yucas (Southern Illinois University)
Abstract
Greg Stein (Claremont McKenna College)
Abstract
Leah Gold (Texas A&M University)
Abstract