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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. 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?

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)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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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