5.6 Let C and C, be binary linear codes having the generator matrices [1 1 1 1 0] G = Lo o 1 10 01 10 17 0 10 101 1 0 0 10 11 1 and G2 List the codewords of C and C and hence find the minimum distance of each code. (Use Theorem 5.2.)
5.6 Let C and C, be binary linear codes having the generator matrices [1 1 1 1 0] G = Lo o 1 10 01 10 17 0 10 101 1 0 0 10 11 1 and G2 List the codewords of C and C and hence find the minimum distance of each code. (Use Theorem 5.2.)
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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Coding Theory:

Transcribed Image Text:5.6 Let C and C, be binary linear codes having the generator
matrices
[1 1 1 1 0
G= Lo 0 1
100 1 1 0 17
0 10 10 1 1
0 0 10 1 1 1
and G2:
List the codewords of C and C, and hence find the
minimum distance of each code. (Use Theorem 5.2.)

Transcribed Image Text:Theorem 5.2 Let C be a linear code and let w(C) be the
smallest of the weights of the non-zero codewords of C. Then
d(C) = w(C).
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