Computer scienceAlgorithms and Data StructuresAlgorithmsString coding algorithmsError control

Hamming code

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Let's suppose somebody has calculated the Hamming code of the binary string $w$ and ended up with the code $10011$ . Can we determine the word $w$ having only this information?

If yes, write the word $w$ . If there is not enough information or such encoding cannot exist, write $-1$ .

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