Question

Consider a block code e having generator matrix G = (111) i. Give the (n,k) specification of this code. (1 mark) ii. Is the code linear? Justify your answer. (2 marks) iii. Write down the parity check matrix H of this code. (2 marks) iv. List all the possible code words of the corresponding dual code (3 marks)

          Consider a block code e having generator matrix
G = (111)
i. Give the (n,k) specification of this code.
(1 mark)
ii. Is the code linear? Justify your answer.
(2 marks)
iii. Write down the parity check matrix H of this code.
(2 marks)
iv. List all the possible code words of the corresponding dual code
(3 marks)

Consider a block code e having generator matrix
G = (111)
i. Give the (n,k) specification of this code.
(1 mark)
ii. Is the code linear? Justify your answer.
(2 marks)
iii. Write down the parity check matrix H of this code.
(2 marks)
iv. List all the possible code words of the corresponding dual code
(3 marks)

Added by Clayton M.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Sri K

01/05/2023

Step 1

Step 1: The generator matrix G has 3 columns, so n=3. Show more…

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Consider a block code e having generator matrix G=(111) i. Give the (n,k) specification of this code. (1 mark) ii. Is the code linear? Justify your answer. (2 marks) iii. Write down the parity check matrix H of this code. (2 marks) iv. List all the possible code words of the corresponding dual code (3 marks)