1) The following is a group code.

(i) Dertemine the minimum distance between code words

(ii) Using this value, determine the maximum number of errors that can reliably by detected

(iii) Find the maximum number of errors that can reliably be corrected.

(a) {0000000000, 1001011101, 0101101111, 0010111011, 1100110010, 1011100110, 0111010100, 1110001001}

2) The following is the generator matrix for a group code:

(a) Use it to encode the message: w = 110 and v = 011.

(b) Write down the parity check matrix H corresponding to G.

(c) Assuming there is at most a 1-bit error, determine whether the received word r = 1010100 has an error and if does, correct it. If you believe this cannot be done, explain why.

(d) Determine the orginal message for the word in part (c).

(Please show all steps, I do not understand any of this)