(1) [30 points] A linear block code is defined with its codeword generation matrix, G as following. The Standard Array Table for Syndrome Table Decoding is also provided below. 110100 G= 011010 101001 codewords 101001 011101 110011 000111 101000 011100 110010000110 000000 110100 011010 101110 000001 110101 011011 101111 000010 110110 011000101100 000100 110000 011100101010 101011 011111 110001 000101 101101 011010 110111 000110 001000 111100 010000 100100 coset 100000010100 010001 100101 010110 Coset leaders Fig. 1: Standard Array for Syndrome Table Decoding r = The received bit sequence, caused by the transmission of a codeword at the transmitter is [1 0 0 0 1 1]. Based on the given G and Standard Array Table, describe the Syndrome Table Decoding process to decode the received bit sequence and reach the conclusion of the estimated transmitted codeword. Describe and explain as in detail as possible for the full credit.

(1) [30 points] A linear block code is defined with its codeword generation matrix, G as following. The Standard Array Table for Syndrome Table Decoding is also provided below. 110100 G = 011010 101001 codewords 000000 110100 011010 101110 101001 011101 110011 000111 000001 110101 011011 101111 101000011100 110010 000110 000010 110110 011000 101100101011 011111 110001000101 000100 110000011100 101010 101101 011010 110111 000110 001000 111100 : : 010000 100100 coset 100000 010100 010001 100101 010110 ... Coset leaders Fig. 1: Standard Array for Syndrome Table Decoding The received bit sequence, caused by the transmission of a codeword at the transmitter is r = [1 0 o 0 1 1] Based on the given G and Standard Array Table, describe the Syndrome Table Decoding process to decode the received bit sequence and reach the conclusion of the estimated transmitted codeword. Describe and explain as in detail as possible for the full credit