We would like to design a linear block code (2,6) using the generator matrix: [100110] 6=010111 001101] What is the codework sequence (i.e. output of the channel encodder) for the data sequence (i.e. input of the channel encoder) 011000101111?

We would like to design a linear block code (2,6) using the generator matrix: [100110] 6=010111 001101] What is the codework sequence (i.e. output of the channel encodder) for the data sequence (i.e. input of the channel encoder) 011000101111?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CM: Cumulative Review

Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]

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Question

We would like to design a linear block code (2,6) using the generator matrix:
[100110]
G=010111
o01101
What is the codework sequence (i.e. output of the channel encodder) for the data sequence (i.e. input of the channel encoder)
011000101111?

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