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Hamming code

The binary Hamming code of redundancy

r

has parameters

[2^{r} - 1, 2^{r} - r - 1, 3]

. Its parity-check matrix has every nonzero vector of

F_{2}^{r}

as a column.

Table of contents 85 2
- Binary simplex code Hamming code 20
- Perfectness of a Hamming code Hamming code 41

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