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In mathematics, an algebraic geometric code (AG-code), otherwise known as a Goppa code, is a general type of linear code constructed by using an algebraic curve over a finite field . Such codes were introduced by Valerii Denisovich Goppa. In particular cases, they can have interesting extremal properties, making them useful for a variety of error detection and correction problems.
They should not be confused with binary Goppa codes that are used, for instance, in the McEliece cryptosystem.