Two new binary codes obtained by shortening a generalized concatenated code

Two new binary codes obtained by shortening a generalized concatenated code

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...

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Veröffentlicht in:IEEE transactions on information theory 1991-11, Vol.37 (6), p.1705
1. Verfasser: Tolhuizen, L.M.G.M.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Binary codes
Concatenated codes
Exact sciences and technology
Information, signal and communications theory
Telecommunications and information theory
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Zusammenfassung: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.< >
ISSN:0018-9448
1557-9654
DOI:10.1109/18.104337