A binary linear block is described by the generator matrix below:                110010      G =    011001                101100 a) Find n and k as well as the code rate of this code  b) List all of the code words of the code and find the code's minimum distance  c) How many errors can this code correct?  d) Find the parity check matrix for this code  e) Create the standard array for this code  f) Find the most like transmitted codeword if the received word is r=101111 using your standard array  g) Find the parity check for this code  h) Find the syndrome S if r=111100. From this syndrome, find the most likely bit(s) to be in error. Confirm your answer with your standard array

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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A binary linear block is described by the generator matrix below:

               110010

     G =    011001

               101100

a) Find n and k as well as the code rate of this code 

b) List all of the code words of the code and find the code's minimum distance 

c) How many errors can this code correct? 

d) Find the parity check matrix for this code 

e) Create the standard array for this code 

f) Find the most like transmitted codeword if the received word is r=101111 using your standard array 

g) Find the parity check for this code 

h) Find the syndrome S if r=111100. From this syndrome, find the most likely bit(s) to be in error. Confirm your answer with your standard array  

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