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If the original size of data is 40 then after adding error detection redundancy bit the size of data length is

1)26

2)36

3)46

4)56

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As for adding redundant bits it must follow

2^r >= m + r +1

Where r is number of redundant bits and m is number of data bits.

So,  for r=6

64 > 40 + 6 +1

Therefore size of codeword becomes m+r == 40 +6 ==46

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