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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2018

With increasing advancements in technology, it is expected that the emergence of a quantum computer will potentially break many…

2018

We define a linear code $C_\eta(\delta_T,\delta_X)$ by evaluating polynomials of bidegree $(\delta_T,\delta_X)$ in the Cox ring…

2017

Generalized Weierstrass semigroups associated to several points of an algebraic curve have been an important tool in the study of…

2008

We investigate a relation between generalized algebraic geometry codes and geometric Goppa codes. We also propose a decoding…

2006

In this paper, a new view point to linear codes is presented. A concept level of linear codes is introduced and a bound of linear…

1995

In this paper, it is proved that any algehraicgeometr ic code can be expressed as a cross section of an extended multidimensional…

1994

1993

Most of the research work in the area of algebraic geometric (AG) codes deals with the construction of AG codes from plane…

1993

1975

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