• Corpus ID: 15154257

New Deep Holes of Generalized Reed-Solomon Codes

@article{Zhang2012NewDH,
  title={New Deep Holes of Generalized Reed-Solomon Codes},
  author={Jun Zhang and Fangwei Fu and Qunying Liao},
  journal={ArXiv},
  year={2012},
  volume={abs/1205.6593}
}
Deep holes play an important role in the decoding of generalized Reed-Solomon codes. Recently, Wu and Hong [11] found a new class of deep holes for standard Reed-Solomon codes. In the present paper, we give a concise method to obtain a new class of deep holes for generalized Reed-Solomon codes. In particular, for standard Reed-Solomon codes, we get the new class of deep holes given in [11]. Li and Wan [6] studied deep holes of generalized Reed-Solomon codes GRSk(Fq,D) and characterized deep… 
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10 Citations
Highly Influential Citations
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Background Citations
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Methods Citations
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Results Citations
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10 Citations

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On deep-holes of Gabidulin codes

Rational points on complete symmetric hypersurfaces over finite fields

On Deep Holes of Elliptic Curve Codes

A method to construct deep holes for elliptic curve codes and it is conjecture that this construction is complete in the sense that it gives all deep holes.

Deep Holes of Projective Reed-Solomon Codes

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On deep holes of projective Reed-Solomon codes

  • Jun ZhangD. Wan
  • Computer Science
    2016 IEEE International Symposium on Information Theory (ISIT)
  • 2016
New results on the covering radius and deep holes for projective Reed-Solomon (PRS) codes are obtained.

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