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For Hamming codes: [ d_\min = 3 \quad \Rightarrow \quad \textCorrects 1 error, detects 2 errors. ] Parameters (binary Hamming code) [ \textBlock length: n = 2^r - 1 ] [ \textData bits: k = 2^r - r - 1 ] [ \textParity bits: r = n - k ] [ \textCode rate: R = k/n = 1 - \fracr2^r - 1 ]
For Hamming codes: [ d_\min = 3 \quad \Rightarrow \quad \textCorrects 1 error, detects 2 errors. ] Parameters (binary Hamming code) [ \textBlock length: n = 2^r - 1 ] [ \textData bits: k = 2^r - r - 1 ] [ \textParity bits: r = n - k ] [ \textCode rate: R = k/n = 1 - \fracr2^r - 1 ]
