Improving the minimum distance bound of Trace Goppa codes

Isabel Byrne, Natalie Dodson, Ryan Lynch +2

In this article we prove that a class of Goppa codes whose Goppa polynomial is of the form $g(x)=x+x^q+\cdots +x^{q^{m-1}}$ where $m\ge 3$ (i.e. $g(x)$ is a trace polynomi…