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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2010

Problem statement: Cryptosystem using linear codes was developed in 1 978 by Mc-Eliece. Later in 1985 Niederreiter and others…

2008

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

2007

We begin this exposition by looking back at two key developments: (i) reduction of the Shannon problem to the Hamming problem…

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…

1999

1995

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

1995

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

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.