14- Use the (7, 4) Hamming code: a- Using equations method: i- Determine the code word for the messages of 1100 and 0110. ii- Calculate the Hamming distance, code rate, code detection and code correction capabilities. iii- If the 6th bit of each received code word are flipped, calculate the syndrome of each one.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
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14- Use the (7, 4) Hamming code:
a- Using equations method:
i- Determine the code word for the messages of 1100 and 0110.
ii- Calculate the Hamming distance, code rate, code detection and code
correction capabilities.
iii- If the 6th bit of each received code word are flipped, calculate the syndrome
of each one.
b- Repeat (a) using Matrices method.
Transcribed Image Text:14- Use the (7, 4) Hamming code: a- Using equations method: i- Determine the code word for the messages of 1100 and 0110. ii- Calculate the Hamming distance, code rate, code detection and code correction capabilities. iii- If the 6th bit of each received code word are flipped, calculate the syndrome of each one. b- Repeat (a) using Matrices method.
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