What is... a Goppa Code?

This page hosts information on Nathan Ilten's talk "What is ... a Goppa Code?" at the WhatIsSeminar.

Abstract

Reed-Solomon codes are widely used in coding theory due to their good parameters and ease of decoding. Goppa codes can in a way be viewed as a generalization of Reed-Solomon codes which, for the most part, maintain these nice properties.

In this talk, I hope to briefly recall some basics of coding theory and the definition of Reed-Solomon codes. In what appears to be tangential, I will talk a little about divisors on algebraic curves. However, the definition of Goppa codes should bring everything back together. Time permitting, I will talk about what makes these codes so great.

Video

A video of this talk can be found at http://www.scivee.tv/node/11302 .

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