First, by defining the linear block code, randomly select $5$ codeword pairs to predict whether the code given in the table is a linear block code and check whether the linear block code condition is met for each of them. Interpret the results.

$\backslash$table$[[$Datawords$,$Codewords,Datawords,Codewords$],[0000,00000,1000,10001],[0001,00011,1001,10010],[0010,00101,1010,10100],[0011,00110,1011,10111],[0100,01001,1100,11000],[0101,01010,1101,11011],[0110,01100,1110,11101],[0111,01111,1111,11110]]$