Research-Progress Report on Algebraic Geometry Codes

Research

Algebra & Combinatorics Seminar

Progress Report on Algebraic Geometry Codes

Speaker: Chaoping Xing (Shanghai Jiaotong University)
Time: Aug 20, 2021, 14:30-15:30
Location: Tencent Meeting ID 313 965 635

Abstract

We start the talk by introducing some basic notations in coding theory. We then introduce Reed-Solomon codes which is a very special class of algebraic geometry codes. General algebraic geometry codes are defined after Reed-Solomon codes. We then survey state-of-art of algebraic geometry codes including bounds and decoding. Finally, we report our recent progress on decoding of algebraic geometry codes.