1. Prove that (31, 16) BCH code can correct minimum three number of errors. Also determine the minimum hamming distance. 2. Determine the number of errors that can be corrected by (a) BCH code (15,...

1. Prove that (31, 16) BCH code can correct minimum three number of errors. Also determine the minimum hamming distance.

2. Determine the number of errors that can be corrected by (a) BCH code (15, 11) (b) BCH code (15, 7)

3. Show that BCH code (15, 5) is a 3-error correcting BCH code. Also calculate its minimum Hamming distance.

4. Highlight the need of channel coding in a digital communication system. Mention the chief objective(s) of a channel code.

5. Define the term: Single-bit error. “Single-bit errors in data communications are the least likely type of error in serial data transmission”. Justify this statement with the help of an example.

6. In GSM cellular communication system, a data block of 184 bits is encoded into 224 bits of codeword on the control channel before sending it to a channel encoder. Determine the number of error control bits added and the code rate of the encoder