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- W2014117013 abstract "A linear code of block length n possessing minimum weight d has one code word of weight zero, and no other code words of weight less than <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d</tex> . The weight distribution of the code is given by the set of all <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>W(j), d leq j leq n</tex> , describing the number of code words having a weight of exactly <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>j</tex> . Exact weight distributions are known for only a handful of linear codes. This paper presents an explicit upper bound upon <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>W(j)</tex> as a function of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n, d</tex> , and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>j</tex> . The bound has general applicability to all linear codes." @default.
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- W2014117013 date "1968-05-01" @default.
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- W2014117013 title "A weight distribution bound for linear codes" @default.
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- W2014117013 doi "https://doi.org/10.1109/tit.1968.1054146" @default.
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