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Two new binary codes obtained by shortening a generalized concatenated code

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1 Author(s)
Tolhuizen, L.M.G.M. ; Philips Res. Lab., Eindhoven, Netherlands

The authors construct a [75,13,30] code and a [75,11,32] code. The minimum distances of these codes are one larger than the largest known (T. Verhoeff 1987) minimum distances of codes with the same length and dimension. As a [75,11,33] code does not exist, the [75,11,32] code is, in a sense, optimal. Both codes are obtained by judiciously shortening a [80,14,32] code that is obtained as a generalized concatenated code

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Information Theory, IEEE Transactions on  (Volume:37 ,  Issue: 6 )