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1. Given codewords are 1000111, 0101011, and 0011101

Consider first 3 bits x1,x2 and x3 as data bits and last 4 bits c1,c2,c3 and c4 as parity bits.

By analysing pattern used to create parity bits here are-

x1 x2 x3 c1=x2⊕x3 c2=x1⊕x3 c3=x1⊕x2 c4=x1⊕x2⊕x3
1 0 0 0 1 1 1
0 1 0 1 0 1 1
0 0 1 1 1 0 1

other 5 codewords will be

0000000

0110110

1011010

1101100

1110001

Mininum distance = 4

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