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Determine using the Hamming bound if it is possible for a binary (9,4,5) code to exist. Does the Gilbert-Varshamov bound verify that a binary (9,2,6)

Determine using the Hamming bound if it is possible for a binary (9,4,5) code to exist.

Does the Gilbert-Varshamov bound verify that a binary (9,2,6) code exists? Can such a code be constructed?

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