Golay Ternary Code Corrects 2 Errors
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Theorem
The Golay ternary code corrects $2$ transmission errors.
Proof
We have that Golay Ternary Code has Minimum Distance 5.
The result follows from Error Correction Capability of Linear Code.
$\blacksquare$
Sources
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $6$: Error-correcting codes: Example $6.15$