Parity check codes with even parity can be viewed as linear block codes. Consider the Following situations: a. One parity check bit (even parity) is appended to three data bits. Write down the generator matrix and the parity matrix for this linear block code. b. 2-D even parity for a block of data: di d2 P1 dz d4 P2 P3 P4 Ps where d;'s are the data bits and p;'s are the parity check bits for the rows and the columns. Write down the generator matrix and the parity check matrix for this code. How many errors can it correct? How many errors can it detect?

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
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Parity check codes with even parity can be viewed as linear block codes. Consider the
following situations:
a. One parity check bit (even parity) is appended to three data bits. Write down the
generator matrix and the parity matrix for this linear block code.
b. 2-D even parity for a block of data:
di d2 P1
dz d4 P2
P3 P4
P5
where d;'s are the data bits and p¿'s are the parity check bits for the rows and the
columns. Write down the generator matrix and the parity check matrix for this
code. How many errors can it correct? How many errors can it detect?
Transcribed Image Text:Parity check codes with even parity can be viewed as linear block codes. Consider the following situations: a. One parity check bit (even parity) is appended to three data bits. Write down the generator matrix and the parity matrix for this linear block code. b. 2-D even parity for a block of data: di d2 P1 dz d4 P2 P3 P4 P5 where d;'s are the data bits and p¿'s are the parity check bits for the rows and the columns. Write down the generator matrix and the parity check matrix for this code. How many errors can it correct? How many errors can it detect?
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