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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… Expand
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Papers overview

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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… Expand
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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… Expand
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2009
2009
In this paper, an algebraic decoding algorithm is proposed to correct all patterns of four or fewer errors in the binary (41, 21… Expand
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Highly Cited
2008
Highly Cited
2008
Recently, an algebraic decoding algorithm suggested by Truong (2005) for some quadratic residue codes with irreducible generating… Expand
  • table I
  • figure 1
  • figure 2
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2003
2003
self-dual doubly-even code into three cases. A previous search assuming one of the cases found only the Extended Quadratic… Expand
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2002
2002
We investigate the weight structure and error-correcting performance of the ternary [13, 7, 5] quadratic-residue code. It is… Expand
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Highly Cited
2001
Highly Cited
2001
The techniques needed to decode the (47,24,11) quadratic residue (QR) code differ from the schemes developed for cyclic codes. By… Expand
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Highly Cited
1995
Highly Cited
1995
We construct new self-dual and isodual codes over the integers module 4. The binary images of these codes under the Gray map are… Expand
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Highly Cited
1990
Highly Cited
1990
An algebraic decoding algorithm for the 1/2-rate (32, 16, 8) quadratic residue (QR) code is found. The key idea of this algorithm… Expand
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Highly Cited
1972
Highly Cited
1972
In this paper we present the weight distribution of all 2^26 cosets of the (32,6) first-order Reed-Muller code. The code is… Expand
  • table I
  • table II
  • table III
  • table IV
  • table VI
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