Binary Golay code

Known as: Golay, Golay code 
In mathematics and electronics engineering, a binary Golay code is a type of linear error-correcting code used in digital communications. The binary… (More)
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2014
2014
The triple-error-correcting binary Golay code has been used in DNA and communication systems. Recently, an algebraic decoding of… (More)
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2013
2013
We give a new construction of the extended binary Golay code. The cons truction is carried out by taking the Gray image of a self… (More)
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2011
2011
Coding theory is the subject which is concerned with how information can be sent over a noisy channel. A code then is a… (More)
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2011
2011
In this letter, two weak general error locator polynomials are proposed to improve the one-step decoding of the (23, 12, 7… (More)
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2008
2008
We give a new construction of the extended binary Golay code. The code is constructed as a zero divisor code over the dihedral… (More)
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2008
2008
binary Golay code is a perfect code, a weight-4 error occurred is always decoded as a weight-3 error pattern by a hard decoding… (More)
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Highly Cited
2008
Highly Cited
2008
We describe a method of constructing a sequence (pulse train) of phase-coded waveforms, for which the ambiguity function is free… (More)
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2008
2008
In this paper, a new decoding algorithm of the extended binary Golay code is proposed. Based on the proposition developed in this… (More)
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2005
2005
In this paper, an algebraic decoding method is proposed for the (23, 12, 7) binary Golay code. By applying a technique developed… (More)
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Highly Cited
1986
Highly Cited
1986
This paper considers two kinds of algorithms. (i) If # is a binary code of length n, a ‘‘soft decision’’ decoding algorithm for… (More)
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