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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.
2018
2018
McEliece Cryptosystem Based On Extended Golay Code
A. Bhatia
,
Ajay Kumar
arXiv.org
2018
Corpus ID: 53442221
With increasing advancements in technology, it is expected that the emergence of a quantum computer will potentially break many…
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2017
2017
Generalized Weierstrass semigroups and codes
2017
Corpus ID: 54077312
Generalized Weierstrass semigroups associated to several points of an algebraic curve have been an important tool in the study of…
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Review
2007
Review
2007
Permutation decoding of codes from graphs and designs
P. Seneviratne
2007
Corpus ID: 55499498
Permutation decoding is a technique, developed by Jessie McWilliams in 1960’s. It involves finding a set of automorphisms of the…
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2006
2006
On the Construction of Algebraic-Geometric Codes 1 )
H. Du
,
Zhuojun Liu
2006
Corpus ID: 18337419
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…
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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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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
Algebraic-Geometric Codes and Mu ltid imensional Cyclic Codes: A Unified Theory and Algorithms for Decoding Using Grijbner Bases
K. Saints
,
C. Heegard
1995
Corpus ID: 263870690
In this paper, it is proved that any algehraicgeometr ic code can be expressed as a cross section of an extended multidimensional…
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1993
1993
A Class of Algebraic Geometric Codes from Curves in High-Dimensional Projective Spaces
G. Feng
,
T. Rao
International Symposium on Applied Algebra…
1993
Corpus ID: 16452622
Most of the research work in the area of algebraic geometric (AG) codes deals with the construction of AG codes from plane…
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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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