Hamming Code/Examples/Arbitrary Example 1

Example of Hamming Code

Consider a Hamming code whose codewords are of $247$ bits.

Then $8$ extra bits are needed to detect and correct a single transmission error.


Proof


This theorem requires a proof.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.



Sources

  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): check digit (checksum)