SILO



The weekly SILO Seminar Series is made possible through the generous support of the 3M Company and its Advanced Technology Group

3M

with additional support from the Analytics Group of the Northwestern Mutual Life Insurance Company

Northwestern Mutual

The fundamental question of coding theory

Nigel Boston, Professor, Department of Electrical and Computer Engineering, Professor, Department of Mathematics

Date and Time: Jul 30, 2015 ( 4:00 PM)
Location: Orchard room (3280) at the Wisconsin Institute for Discovery Building

Abstract:

A good code has both rate k/n and relative minimum distance d/n
large. The fundamental question of coding theory is to describe the closure
of the set of points (d/n,k/n). Goppa's conjecture says that, except for isolated
points, it's the region below the curve y=1-H(x) for x<1/2, where H is the
binary entropy function. I'll describe this and a tantalizing connection with
hyperelliptic curves that led us briefly to think we'd disproved the conjecture.
(Joint work with Jing Hao.)