In: Statistics and Probability
Cindy transmitted a four-letter word to Donald. After her computer took the ASCII representation for the word and applied the Hamming(7,4) code, Bob received this:
1100011 0011001 1011010 1111111 0010010 0111110 1101010
Unfortunately, there were a number of errors in the transmission. Fortunately, however, there was never more than one bit error in any 7-bit block, and hence the Hamming(7,4) code was able to fix them all. Type in the four-letter word (using letters of the alphabet) that Cindy originally sent, in lower case. (Note: Assume that the data occurs in the format we described in class whereby the three parity bits follow the four data bits, i.e. d1 d2 d3 d4 p1 p2 p3 . This may differ from the order found in descriptions of Hamming(7,4) found on the web.)