A code word is transmitted when using a (6,3) linear block code. Thegenerator matrix, parity check matrix, error patterns and syndromes forthe system are given below. A code word (r = 0 0 1 1 1 0) is received.Given that at least one bit was received in error, use syndrome decodingto determine the syndrome of "r".[[part 1 of 3]][110100]G= 011010101001110101100010100101]H 010110001011Error pattern000000000001000010000100001000010000100000010001Syndrome000101011110001010100111

Answered: [110100] G= 011010 101001 O 110 101 100…

[110100] G= 011010 101001 O 110 101 100 010 Error pattern Syndrome 000000 000 101 011 110 001 010 100 100000 [100101] H-010110 001011 000010 000100 001000 010000 100000 010001

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

A code word is transmitted when using a (6,3) linear block code. The
generator matrix, parity check matrix, error patterns and syndromes for
the system are given below. A code word (r = 0 0 1 1 1 0) is received.
Given that at least one bit was received in error, use syndrome decoding
to determine the syndrome of "r".
[[part 1 of 3]]
[110100]
G= 011010
101001
110
101
100
010
100101]
H 010110
001011
Error pattern
000000
000001
000010
000100
001000
010000
100000
010001
Syndrome
000
101
011
110
001
010
100
111

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