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- W2095755044 abstract "Classical Bose-Chaudhuri-Hocquenghem (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 delta=O(radicn), and the converse is proved in the case of narrow-sense codes. Furthermore, the dimension of narrow-sense BCH codes with small design distance is completely determined, and - consequently - the bounds on their minimum distance are improved. These results make it possible to determine the parameters of quantum BCH codes in terms of their design parameters" @default.
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- W2095755044 date "2007-03-01" @default.
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- W2095755044 title "On Quantum and Classical BCH Codes" @default.
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- W2095755044 doi "https://doi.org/10.1109/tit.2006.890730" @default.
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