Quadratic residue code

Known as: Gleason-Prange theorem, Gleason–Prange theorem 
A quadratic residue code is a type of cyclic code. There is a quadratic residue code of length over the finite field whenever and are primes, is odd… (More)
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2014
2014
Quantum synchronizable codes are quantum error-correcting codes designed to correct the effects of both quantum noise and block… (More)
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2014
2014
In this paper, a method to search the set of syndromes' indices needed in computing the unknown syndromes for the (73, 37, 13… (More)
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2011
2011
In this letter, the algebraic decoding algorithm of the (89, 45, 17) binary quadratic residue (QR) code proposed by Truong et al… (More)
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2010
2010
This paper proposes an algebraic decoding algorithm for the (41, 21, 9) quadratic residue code via Lagrange interpolation formula… (More)
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2009
2009
A new algorithm is developed to facilitate faster decoding of the (47,24,11) quadratic residue (QR) code. This decoder, based on… (More)
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2009
2009
This paper used an efficient scheme to determine the number of codewords for a given weight in the binary extended quadratic… (More)
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Review
2009
Review
2009
Quadratic residue (QR) codes are cyclic, nominally half-rate codes, that are powerful with respect to their error-correction… (More)
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2008
2008
Recently, an algebraic decoding algorithm suggested by Truong (2005) for some quadratic residue codes with irreducible generating… (More)
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2008
2008
A new effective lookup table for decoding the binary systematic (41, 21, 9) quadratic residue (QR) code up to 4 errors is… (More)
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1992
1992
An algebraic decoding algorithm for the ternary (13, 7, 5) quadratic residue code is presented. This seems to be the first… (More)
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