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- W2060430136 abstract "Let q be a prime power, l ≥ 2 be even, n=(q-1)(q <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>il</sup> -1)/(q <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>i</sup> -1). We give necessary and sufficient conditions on dual containing q-ary narrow-sense BCH codes of length <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> , and improve previous upper bound on necessary condition. We present a family of dual containing non-narrow-sense BCH codes of length <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> including the BCH code with maximal designed distance, calculate their dimensions and use them to construct new quantum codes, which are better than those constructed from narrow-sense BCH codes." @default.
- W2060430136 created "2016-06-24" @default.
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- W2060430136 date "2012-08-01" @default.
- W2060430136 modified "2023-09-23" @default.
- W2060430136 title "A class of imprimitive BCH codes and new quantum codes" @default.
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- W2060430136 doi "https://doi.org/10.1109/csip.2012.6308834" @default.
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