Hamming code

[7,4,3]2 Hamming code

The [7,4,3]2 Hamming code is the smallest perfect code. code It may be thought of as

• The row space of the Incidence matrix of the Fano plane with the ⃗𝟏 codeword added.
• The code whose ^check consists of the homogenous coördinates of all points in the Fano plane as columns.

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