Linear algebra images and kernels You have received the mess

Linear algebra images and kernels

You have received the message 1110111 coded by (7,4)-Hamming. What 4-bit word did the sender want to convey? please explain

Solution

In lieu of the generator matrix not being specified in the question, it is impossible to decode the message sent by (7.4)-Hamming. See also the discussion available at http://math.stackexchange.com/questions/1433091/hamming-code-using-linear-algebra.