Apparatus and Method for Correcting at least one Bit Error within a Coded Bit Sequence
A technology for encoding bit sequences and single-bit errors, applied in the direction of error correction/detection using linear codes, error correction/detection using block codes, encoding, etc.
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[0025] In the following, the same reference numerals are partly used for objects and functional units with the same or similar functional attributes, and their descriptions with respect to the figures will also apply to other figures in order to reduce redundancy in the description of the embodiments.
[0026] Before describing the proposed principles in more detail, some theoretical foundations and basic terminology about linear block codes, especially Hamming, Shaw and BCH codes, are briefly introduced. These are also, for example, in "Fujiwara, E., Code Design for Dependable Systems, Wiley, 2006, p. 49-53, p. 98-101" and in "Tzschach, H. and Haflinger, G., Codes für den stärungsgesicherten Datentransfer, Oldenburg Verlag, 1993, p. 111-121".
[0027] A Hamming code is a linear block code with a code distance of 3. If m is the number of parity bits, its length is n = 2 m - 1. The number of data bits is k = 2 m – 1 – m. As any linear code, a Hamming code can usually be de...
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