Goppa code

Known as: Algebraic Geometric Codes, Algebraic geometric code, AG-code

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…

Papers overview

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2007

We study algebraic geometric codes obtained from rational normal scrolls. We determine the complete weight hierarchy and spectrum…

2006

We consider a class of codes defined by Goppa’s algebraic-geometric construction on Fermat curves. Automorphisms and decoding of…

2005

Asymmetric coding schemes are developed that are constructed with the use of algebraic geometric codes. Basic analytical…

2003

Abstract.Let be an algebraic geometric code of dimension k and length n constructed on a curve over Fq. Let be the state…

2001

Abstract. We construct extended classical Goppa codes that can have unrestricted block length. The parameters of the codes are…

Highly Cited

1995

Highly Cited

1995

In this paper, we present a construction of improved geometric Goppa codes which, for the case of r<2g, are often more efficient…

1995

Extends the maximum entropy information-theoretic density estimation method to provide a technique which guarantees that the…

1991

1978

In a previous correspondence, a decoding procedure which uses continued fractions and which is applicable to a wide class of…

1975

It is shown that Goppa codes can be decoded by a simple modification of a decoder for a Reed-Solomon code.