a- For the (7, 4) cyclic Hamming code with generator polynomial g(X) = X³ + x² + 1, construct an (8, 4) extended Hamming code and list all the codewords. What is dmin for the extended code? b- An (8, 4) linear block code is constructed by shortening a (15, 11) Hamming code generated by the generator polynomial g(X) = X+ + X + 1. a. Construct the codewords of the (8, 4) code and list them. b. What is the minimum distance of the (8, 4) code?
a- For the (7, 4) cyclic Hamming code with generator polynomial g(X) = X³ + x² + 1, construct an (8, 4) extended Hamming code and list all the codewords. What is dmin for the extended code? b- An (8, 4) linear block code is constructed by shortening a (15, 11) Hamming code generated by the generator polynomial g(X) = X+ + X + 1. a. Construct the codewords of the (8, 4) code and list them. b. What is the minimum distance of the (8, 4) code?
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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a- For the (7, 4) cyclic Hamming code with generator polynomial g(X) = X³ + x² + 1, construct an (8, 4) extended Hamming code and list all the codewords. What is dmin for the extended code?
b- An (8, 4) linear block code is constructed by shortening a (15, 11) Hamming code generated by the generator polynomial g(X) = X+ + X + 1. a. Construct the codewords of the (8, 4) code and list them. b. What is the minimum distance of the (8, 4) code?
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