A (7,4) block code has the parity check matrix as: 11 0 1 1 0 01 H = 11 10010 1111 00 1] This code can correct a single error. (a) Derive the generator matrix for this code and encod the data 1110. (b) Derive a syndrome decoding for the code as described above and decode th received data 1101110. (c) Calculate the maximum number of errors a (15,11) block code ca correct. [1110010, 11

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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A (7,4) block code has the parity check matrix as:
[11011001
H = | 11100 1 0
[11110 01.
This code can correct a single error. (a) Derive the generator matrix for this code and encode
the data 1110. (b) Derive a syndrome decoding for the code as described above and decode the
received data 1101110. (c) Calculate the maximum number of errors a (15,11) block code can
correct. [1110010, 1]
Transcribed Image Text:A (7,4) block code has the parity check matrix as: [11011001 H = | 11100 1 0 [11110 01. This code can correct a single error. (a) Derive the generator matrix for this code and encode the data 1110. (b) Derive a syndrome decoding for the code as described above and decode the received data 1101110. (c) Calculate the maximum number of errors a (15,11) block code can correct. [1110010, 1]
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