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#1043
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Sesame
Hermit, please wait until tomorrow. Don't post the answer.
I agree with Uranium that 3 bits should control the information. What's the deal with what to add or multiply? I want to try it out in the morning.
That is, I know that I need to look it up in the wiki to solve this. But I absolutely don't remember this algorithm from memory.
Okay :)

Added 32 seconds ago
Uranium235
No, it's not clear which one it is. But it's clear that the error is among the first 5 bits, and it definitely exists.
I agree.

Added 9 minutes ago
Sesame
That is, I know that I need to look it up in the wiki to solve this. But I absolutely don't remember this algorithm from memory.
No, you don't need to look anything up in the wiki, and I'm not even sure there's anything there. This is almost entirely a puzzle that requires quick thinking. It requires very little specialized knowledge. At least, I solved it without any wikis, googling, reading books on error-correcting codes, etc.
Всё не так плохо как Вы думаете. Всё намного хуже!