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Weight enumerators of high-rate convolutional codes based on the Hamming code - MaRDI portal

Weight enumerators of high-rate convolutional codes based on the Hamming code (Q1177492)

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scientific article; zbMATH DE number 20609
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Weight enumerators of high-rate convolutional codes based on the Hamming code
scientific article; zbMATH DE number 20609

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    Weight enumerators of high-rate convolutional codes based on the Hamming code (English)
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    26 June 1992
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    The author considers a class of rate \((n-1)/n\;(n=2^ r,\;r=1,2,\dots)\) binary convolutional codes with free distance \(d_ f=3\) and derives a method for the calculation of their spectra. Moreover she shows that the codes of this class are equivalent to punctured convolutional codes having constraint length \(\leq r+1\) and allow maximum likelihood decoding with complexity of order \(2^{r+1}\).
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    Hamming code
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    binary convolutional codes
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    spectra
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    maximum likelihood decoding
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