Consider an (n, k) block code with the following generator matrix. Find the following * The values of n and k. * The detection and correction capacities of the code. 0 10 1 1 0 0 1 0 10 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 G= * The codeword c for the message m=1001. The syndrome for the received vector r= 1101011. Assume this code is used on a channel with Pe=0.01. What is the probability of receivit codeword free from error?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Consider an (n, k) block code with the following generator matrix. Find the following:
* The values of n and k.
* The detection and correction capacities of the code.
* The codeword c for the message mF1001.
0 1 0 1 10 0
1 0 10 10 0
0 1 1 0 0 1 0
1 1 0 0 0 0 1
G =
The syndrome for the received vector r= 1101011.
Assume this code is used on a channel with Poe=0.01. What is the probability of receiving
codeword free from error?
Transcribed Image Text:Consider an (n, k) block code with the following generator matrix. Find the following: * The values of n and k. * The detection and correction capacities of the code. * The codeword c for the message mF1001. 0 1 0 1 10 0 1 0 10 10 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 G = The syndrome for the received vector r= 1101011. Assume this code is used on a channel with Poe=0.01. What is the probability of receiving codeword free from error?
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