Question: n the Hamming [ 7 , 4 ] code an additional parity is bit added ( as bit 8 ) . This equals the sum

n the Hamming [7,4] code an additional parity is bit added (as bit 8). This equals the sum of all
the other codeword bits (data and parity). From the Venn diagram, and for the matrix H we see
that it should now be 8\times 4 and to make the checksum work for every circle the matrix should have
an additional row added, the entries of which should be the sum of all previous rows in that column
- and this turms out to be always a 1. A last column is added and this is all zeros except the last
entry is 1.

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