5. Linear codes The code words 100011, u3 U = 010101, 2 = form a basis...
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5. Linear codes The code words 100011, u3 U₁ = 010101, 2 = form a basis for a (6,4) linear binary code. i. Write down a generator matrix for this code. ii. Construct code words for the messages 1110, 1001 and 0110. iii. Write down the parity check matrix for this code. iv. Find syndromes for the received words 101010, 100101 and 001110. = 000111, 44 = 101101. 5 marks 5. Linear codes The code words 100011, u3 U₁ = 010101, 2 = form a basis for a (6,4) linear binary code. i. Write down a generator matrix for this code. ii. Construct code words for the messages 1110, 1001 and 0110. iii. Write down the parity check matrix for this code. iv. Find syndromes for the received words 101010, 100101 and 001110. = 000111, 44 = 101101. 5 marks
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i The generator matrix for this code is G u1 u2 u3 u4 001010 111101 001001 101111 ii The code words for the messages 1110 1001 and 0110 are 1110 100100 1001 100111 0110 000111 iii The parity check mat... View the full answer
Related Book For
Financial Accounting
ISBN: 978-0324645576
10th edition
Authors: W. Steve Albrecht, James D. Stice, Earl K. Stice
Posted Date:
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