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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… 
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Related topics

Related topics

9 relations
Alternant codeBinary Goppa codeCodeFast syndrome-based hash

Broader (1)

Coding theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
A Provably Secure Blind Signature Based on Coding Theory
Blind signature can be deployed to preserve user anonymity and is widely used in digital cash and e-voting. As an interactive… 
2012
2012
ET-DMD: An Error-Tolerant Scheme to Detect Malicious File Deletion on Distributed Storage
Distributed storage is a scheme to store data in networked storage services, which is the basis of popular cloud storage… 
2008
2008
On automorphism groups of certain Goppa codes
Goppa codes are linear codes arising from algebraic curves over finite fields. Sufficient conditions are given ensuring that all… 
2005
2005
Asymmetric Code-Theoretical Schemes Constructed with the Use of Algebraic Geometric Codes
Asymmetric coding schemes are developed that are constructed with the use of algebraic geometric codes. Basic analytical… 
2001
2001
Extended Classical Goppa Codes
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
Improved geometric Goppa codes. I. Basic theory
In this paper, we present a construction of improved geometric Goppa codes which, for the case of r<2g, are often more efficient… 
Highly Cited
1995
Highly Cited
1995
Systematic encoding via Grobner bases for a class of algebraic-geometric Goppa codes
Any linear code with a nontrivial automorphism has the structure of a module over a polynomial ring. The theory of Grobner bases… 
Review
1993
Review
1993
On the Efficient Decoding of Algebraic-Geometric Codes
This talk is intended to give a survey on the existing literature on the decoding of algebraic-geometric codes. Although the… 
1978
1978
Addition to 'A Method for Decoding of Generalized Goppa Codes'
In a previous correspondence, a decoding procedure which uses continued fractions and which is applicable to a wide class of… 
1975
1975
Decoding Goppa codes with a BCH decoder (Corresp.)
It is shown that Goppa codes can be decoded by a simple modification of a decoder for a Reed-Solomon code. 
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