A communication code has minimum Hamming distance d_{min} = 5. What is

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Module 2: Data Link Layer & MAC Sublayer

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A communication code has minimum Hamming distance $d_{min} = 5$ . What is the maximum number of errors that can be detected?

(i) 2
(ii) 3
(iii) 5
(iv) 4

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(iv) 4

A code with minimum Hamming distance $d_{min}$ can detect up to $d_{min} - 1$ errors and correct up to $\lfloor (d_{min}-1)/2 \rfloor$ errors.

$d_{min} - 1 = 5 - 1 = 4$

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