Abstract
One of the major developments in the theory of error-correcting codes in the 80’s was the introduction of methods from algebraic geometry to construct good codes. The ideas are based on generalizations of the Goppa codes of the previous chapter. The algebraic geometry codes were also inspired by ideas of Goppa. In fact, the codes of Chapter 9 are now sometimes called “classical” Goppa codes, and those of this chapter “geometric” Goppa codes. We use the terminology “ algebraic geometry” codes.KeywordsAlgebraic GeometryRational PointAlgebraic CurfAffine PlaneCanonical DivisorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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