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Goppa code
Known as:
Algebraic Geometric Codes
, Algebraic geometric code
, AG-code
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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…
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Related topics
Related topics
9 relations
Alternant code
Binary Goppa code
Code
Fast syndrome-based hash
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Broader (1)
Coding theory
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2008
2008
On automorphism groups of certain Goppa codes
M. Giulietti
,
G. Korchmáros
Des. Codes Cryptogr.
2008
Corpus ID: 20088483
Goppa codes are linear codes arising from algebraic curves over finite fields. Sufficient conditions are given ensuring that all…
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2007
2007
Scroll codes
Gert Monstad Hana
,
T. Johnsen
Des. Codes Cryptogr.
2007
Corpus ID: 30862020
We study algebraic geometric codes obtained from rational normal scrolls. We determine the complete weight hierarchy and spectrum…
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2005
2005
Asymmetric Code-Theoretical Schemes Constructed with the Use of Algebraic Geometric Codes
Y. Stasev
,
A. Kuznetsov
2005
Corpus ID: 119968730
Asymmetric coding schemes are developed that are constructed with the use of algebraic geometric codes. Basic analytical…
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2001
2001
Extended Classical Goppa Codes
Oliver Pretzel
Applicable Algebra in Engineering, Communication…
2001
Corpus ID: 35345120
Abstract. We construct extended classical Goppa codes that can have unrestricted block length. The parameters of the codes are…
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Highly Cited
1995
Highly Cited
1995
Improved geometric Goppa codes. I. Basic theory
G. Feng
,
T. Rao
IEEE Transactions on Information Theory
1995
Corpus ID: 28891471
In this paper, we present a construction of improved geometric Goppa codes which, for the case of r<2g, are often more efficient…
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1995
1995
Information-theoretic approach to unimodal density estimation
P. Brockett
,
A. Charnes
,
K. Paick
IEEE Transactions on Information Theory
1995
Corpus ID: 206393726
Extends the maximum entropy information-theoretic density estimation method to provide a technique which guarantees that the…
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Review
1993
Review
1993
On the Efficient Decoding of Algebraic-Geometric Codes
R. Pellikaan
1993
Corpus ID: 62062453
This talk is intended to give a survey on the existing literature on the decoding of algebraic-geometric codes. Although the…
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1991
1991
Algebraic-geometric codes and asymptotic problems
M. Tsfasman
Discrete Applied Mathematics
1991
Corpus ID: 44595767
1978
1978
Addition to 'A Method for Decoding of Generalized Goppa Codes'
D. Mandelbaum
IEEE Transactions on Information Theory
1978
Corpus ID: 32284677
In a previous correspondence, a decoding procedure which uses continued fractions and which is applicable to a wide class of…
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1975
1975
Decoding Goppa codes with a BCH decoder (Corresp.)
C. Retter
IEEE Transactions on Information Theory
1975
Corpus ID: 32144329
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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