Unformatted text preview: (c) Compute the syndrome for the received vector r= (d) Is the received vector a valid code word? (e) What is the error correcting capability of the code? (f) What is the error-detecting capability of the code? 4. Consider a systematic block code whose parity-check equations are: 3 2 1 3 2 1 2 3 2 1 3 1 m m m b m m m b m m m b m m m b + + = + + = + + = + + = Where i m are message bits and i b are parity check bits. (a) Find the Generator matrix G and the parity check matrix H for this code. (b) How many errors can the code correct? (c) How many errors can the code detect? (d) Is the vector  Try these problems yourself; no need to submit solutions...
View Full Document
- Spring '08
- Coding theory, Hamming Code, University of Western Ontario, parity check, Vertical Parity Checks, 1 1 1 1 0 0 0 1 0 1 0 1 0 0 G