What is required for the Hamming Code to successfully correct a single-bit error?
Understand the Problem
The question is asking about the conditions needed for the Hamming Code to effectively correct a single-bit error, focusing on the specific requirements involving parity bits and redundancy bits.
Answer
A minimum distance of 3
The final answer is a minimum distance of 3.
Answer for screen readers
The final answer is a minimum distance of 3.
More Information
The minimum distance is the smallest number of bit changes to convert one valid codeword into another. For a single-bit error correction, a minimum distance of 3 ensures the corrupted code is closer to the original than to any other valid codeword.
Sources
- Hamming code - Wikipedia - en.wikipedia.org
- Using the Hamming code, determine whether the following ... - Quora - quora.com
- Single Bit Error Correction & Double Bit Error Detection - electronics.stackexchange.com
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