Examine the (7, 4) Code with the generator matrix   Determine a. Minimum weight b. Error-detecting capability c. Error-correcting capability

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Examine the (7, 4) Code with the generator matrix

 

Determine
a. Minimum weight
b. Error-detecting capability
c. Error-correcting capability
d. Syndrome decoding table

Examples
• Example: Examine the (7, 4) Code with the generator matrix
0 0 0
1 0 0
[1
1
1 0]
1
1
G =
0 0 1
Lo
1
1
1
0 1
1 0 1]
Determine
а.
Minimum weight
b. Error-detecting capability
Error-correcting capability
с.
d. Syndrome decoding table
Transcribed Image Text:Examples • Example: Examine the (7, 4) Code with the generator matrix 0 0 0 1 0 0 [1 1 1 0] 1 1 G = 0 0 1 Lo 1 1 1 0 1 1 0 1] Determine а. Minimum weight b. Error-detecting capability Error-correcting capability с. d. Syndrome decoding table
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