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Two families of negacyclic BCH codes
Designs, Codes, and Cryptography, 2023 Negacyclic BCH codes are a subclass of neagcyclic codes and are the best linear codes in many cases. However, there have been very few results on negacyclic BCH codes. Let q be an odd prime power and m be a positive integer.
Xiaoqiang Wang +2 more
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On Quantum and Classical BCH Codes [PDF]
IEEE Transactions on Information Theory, 2007 Classical BCH codes that contain their (Euclidean or Hermitian) dual codes can be used to construct quantum stabilizer codes; this correspondence studies the properties of such codes. It is shown that a BCH code of length n can contain its dual code only if its designed distance d=O(sqrt(n)), and the converse is proved in the case of narrow-sense codes.
Pradeep Kiran Sarvepalli +2 more
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On classical BCH codes and quantum BCH codes
Journal of Electronics (China), 2009It is a regular way of constructing quantum error-correcting codes via codes with self-orthogonal property, and whether a classical Bose-Chaudhuri-Hocquenghem (BCH) code is self-orthogonal can be determined by its designed distance. In this paper, we give the sufficient and necessary condition for arbitrary classical BCH codes with self-orthogonal ...
Yajie Xu, Zhi Ma, Chunyuan Zhang
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Parameters of Several Classes of BCH Codes
IEEE Transactions on Information Theory, 2015 Because of their efficient encoding and decoding algorithms, cyclic codes - an interesting class of linear codes - are widely used in communication systems, storage devices, and consumer electronics.
Cunsheng Ding
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On a class of primitive BCH-codes
IEEE Transactions on Information Theory, 1990The author introduces a special class of primitive BCH codes, the minimal BCH (MB) codes. It is proved that an MB code has as minimum distance its designed distance. Using the Roos bound, the author proposes a lower bound, sometimes tight, for the minimum distance of the dual of an MB code.
P Charpin
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A Class of Narrow-Sense BCH Codes [PDF]
IEEE Transactions on Information Theory, 2019 BCH codes are an important class of cyclic codes which have applications in satellite communications, DVDs, disk drives, and two-dimensional bar codes. Although BCH codes have been widely studied, their parameters are known for only a few special classes. Recently, Ding et al. made some new progress in BCH codes.
Shixin ZHU, Xiaoshan Kai, Zhonghua Sun
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IEEE Transactions on Information Theory, 1965
The Gorenstein-Zierler decoding algorithm for BCH codes is extended, modified, and analyzed; in particular, we show how to correct erasures as well as errors, exhibit improved procedures for finding error and erasure values, and consider in some detail the implementation of these procedures in a special-purpose computer.
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The Gorenstein-Zierler decoding algorithm for BCH codes is extended, modified, and analyzed; in particular, we show how to correct erasures as well as errors, exhibit improved procedures for finding error and erasure values, and consider in some detail the implementation of these procedures in a special-purpose computer.
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Shortened BCH codes (Corresp.)
IEEE Transactions on Information Theory, 1973By shortening certain binary primitive BCH codes, we derive a number of linear error-correcting codes with minimum distances superior to any known previously. We also give the weight spectra of three nonprimitive BCH codes whose minimum distances likewise constitute a significant improvement over those of the best codes previously known.
Hermann J. Helgert, Russell D. Stinaff
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A class of constacyclic BCH codes
Cryptography and Communications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shixin ZHU, Liqi Wang, Zhonghua Sun
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Some negacyclic BCH codes and quantum codes
Quantum Information Processing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junli Wang 0002 +3 more
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