Suppose a8 = 8, a9 = 9, a10 = 10part (d) (e) (f) 5. Consider a system with a binary block code.Convert ag to a column vector according to the following table.5а.134町[0]Similarly convert ag, a10-b.Form the following generator matrix using the vectors obtained in part a.[1 0 0 1 0 1G = |0 1 1 1 0 0Lo 1 0 0 1 1vector from asvector from a,c.Determine the minimum weight of the binary linear block code determinedby the generator matrix in part b.Determine a parity matrix H for the code.Transpose the vector obtained from a10 to obtain a data vector. Encode thed.e.data vector with G in part b to get the codeword c.Suppose the second bit of e is received in error. Write down the receivedf.vector.Determine a partial syndrome table that shows all single errors (You don'tg.need to consider patterns with two or more errors.)h.Perform syndrome decoding on the received vector in part f to obtain thecorrect codeword.

Answered: Image /qna-images/answer/633619c6-3594-4a27-8866-46399ccd73b9.jpg

Answered: a9 = 9, a

Engineering

Computer Science

a9 = 9, a

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

Suppose a8 = 8, a9 = 9, a10 = 10
part (d) (e) (f)

5. Consider a system with a binary block code.
Convert ag to a column vector according to the following table.
5
а.
1
3
4
町
[0]
Similarly convert ag, a10-
b.
Form the following generator matrix using the vectors obtained in part a.
[1 0 0 1 0 1
G = |0 1 1 1 0 0
Lo 1 0 0 1 1
vector from as
vector from a,
c.
Determine the minimum weight of the binary linear block code determined
by the generator matrix in part b.
Determine a parity matrix H for the code.
Transpose the vector obtained from a10 to obtain a data vector. Encode the
d.
e.
data vector with G in part b to get the codeword c.
Suppose the second bit of e is received in error. Write down the received
f.
vector.
Determine a partial syndrome table that shows all single errors (You don't
g.
need to consider patterns with two or more errors.)
h.
Perform syndrome decoding on the received vector in part f to obtain the
correct codeword.

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