I'm somewhat interested in the 23,12 Golay code.
Does the "cyclic code" thing apply to every possible codeword or are there exceptions? In other words; if I bit shift a random valid codeword, is the chance of getting a valid codeword always 100%?
Pic not related
I don't know anything about coding theory other than its existence, but I think it's cool so have a bump.
>>61491542
Niggah what are you trying to say?
Cyclic applies to the underlying group structure. Forget about it unless you're trying to prove theorems for the codes or create new ones.
>if I bit shift a random valid codeword, is the chance of getting a valid codeword always 100%?
Of course. Not just one, but 3 bits at once. That's the point of it. 100% of the time. It's deterministic, not probabilistic.