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Gilbert–Varshamov bound

Known as: Gilbert-Varshamov bound, Gilbert-Shannon-Varshamov bound, GV bound 
In coding theory, the Gilbert–Varshamov bound (due to Edgar Gilbert and independently Rom Varshamov) is a limit on the parameters of a (not… 
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Related topics

Related topics

13 relations
Binary Goppa codeCoding theoryConcatenated error correction codeElias Bassalygo bound

Papers overview

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2020
2020
$\mathbb {Z}_{p}\mathbb {Z}_{p^{s}}$-additive cyclic codes are asymptotically good
We construct a class of $\mathbb {Z}_{p}\mathbb {Z}_{p^{s}}$-additive cyclic codes generated by pairs of polynomials, where p is… 
2017
2017
Binary subblock energy-constrained codes: Bounds on code size and asymptotic rate
The subblock energy-constrained codes (SECCs) have recently been shown to be suitable candidates for simultaneous energy and… 
2007
2007
Nonbinary Quantum Goppa Codes Exceeding the Quantum Gilbert-Varshamov Bound
An explicit construction for nonbinary quantum Goppa codes exceeding the quantum Gilbert-Varshamov bound is given. First, we… 
2006
2006
Asymptotic improvement of the Gilbert-Varshamov bound for binary linear codes
The Gilbert-Varshamov bound states that the maximum size A<sub>2 </sub>(n,d) of a binary code of length n and minimum distance d… 
2001
2001
On Gilbert-Varshamov type bounds for Z2k-linear codes
In this paper we derive a Gilbert-Varshamov type bound for linear codes over Galois rings GR(pl; j): However, this bound does not… 
1997
1997
Improved (T, M, S)-net Parameters from the Gilbert-Varshamov Bound
Abstract. We obtain some improved net parameters via use of the Gilbert-Varshamov coding theory bound. 
1991
1991
New approaches to reduced-complexity decoding
1991
1991
A simple action treshold for timing applications of a granulosis virus to controlPieris rapae [Lep.: Pieridae]
Pieris rapae (L.) an important pest of cole crops in the northeastern United States, is susceptible to a granulosis virus,Pieris… 
1990
1990
Asymptotically good families of geometric Goppa codes and the Gilbert-Varshamov bound
This note presents a generalization of the fact that most of the classical Goppa codes lie arbitrarily close to the Gilbert… 
1968
1968
Fouilles de l'École Française de Rome à Bolsena (Poggio Moscini). II. Les architectures (1962-1967)
Auteur : Andre Balland, Alix Barbet, Pierre Gros et Gilbert Hallier Titre : Fouilles de l'Ecole Francaise de Rome a Bolsena… 
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