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Binary Goppa code

In mathematics and computer science, the binary Goppa code is an error-correcting code that belongs to the class of general Goppa codes originally… Expand
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Papers overview

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Highly Cited
2011
Highly Cited
2011
This paper presents a Patterson-style list-decoding algorithm for classical irreducible binary Goppa codes. The algorithm… Expand
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Highly Cited
2009
Highly Cited
2009
The classical McEliece cryptosystem is built upon the class of Goppa codes, which remains secure to this date in contrast to many… Expand
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2001
2001
We present a new family of binary codes derived from the family of classical Goppa codes. We generalize properties of Goppa codes… Expand
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  • table 2
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1995
1995
A subclass of binary Goppa codes specified by a separable polynomial G(x)=x/sup t/+A and a subset L of elements of GF(2/sup m… Expand
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Highly Cited
1990
Highly Cited
1990
Starting from results on elliptic curves and Kloosterman sums over the finite field GE(2/sup t/), the authors determine the… Expand
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1990
1990
By applying a result from algebraic geometry due to E. Bombieri (Amer. J. Math., vol.88, p.71-105, 1966), the true dimension of… Expand
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Highly Cited
1987
Highly Cited
1987
  • M. Elia
  • IEEE Trans. Inf. Theory
  • 1987
  • Corpus ID: 581798
It is shown that the algebraic method for decoding three-error-correcting BCH codes is also applicable to complete decoding of… Expand
  • figure 3
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1979
1979
  • O. Moreno
  • IEEE Trans. Inf. Theory
  • 1979
  • Corpus ID: 26939389
It is known that extended Goppa cedes are invariant under the group of transformations Z \rightarrow (A Z + B ) / ( CZ + D… Expand
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1973
1973
The class of codes introduced by Goppa [1]-[3] includes the BCH codes as a proper subset. It also includes a large subset of… Expand
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Highly Cited
1973
Highly Cited
1973
Goppa described a new class of linear noncyclic error-correcting codes in [1] and [2]. This paper is a summary of Goppa's work… Expand
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