Gary McGuire (UCD)

will speak on

Curves over finite fields for algebraic geometry codes and quantum codes

Time: 2:00PM
Date: Thu 10th October 2019
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: Good quantum error-correcting codes can be constructed from algebraic geometry codes that have particular properties. These algebraic geometry codes can in turn be constructed from algebraic curves over finite fields that have particular properties. We shall describe some recent work that enlarges the collection of curves with the desirable properties. We are able to find the number of rational points and a canonical divisor for the curves. Our work shows that many more curves give rise to quantum error-correcting codes than was previously thought.
Joint work with Francisco Monserrat, Julio Moyano, Fernando Hernando.

(This talk is part of the Algebra and Number Theory series.)

PDF notice

Return to all seminars