In the proof of the claim that for any n-bit messages, any resulting code C with parity bits satisfying properties (0) and (1) will have minimum distance 3, we use 3 cases: A(x, y) = 1, 2 and 3. Select all that are true:

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In the proof of the claim that for any n-bit messages, any resulting code C with parity
bits satisfying properties (0) and (1) will have minimum distance 3, we use 3 cases:
A(x, y) = 1, 2 and 3. Select all that are true:
a) We don't need the case of A(x, y) = 0 because the code has minimum distance
3.
b) We don't need the case of A(x, y) = 0 because we assumed x # y.
c) We don't need the case of A(x, y) = 0 because it is taken care of by the other
cases.
d) We don't need the case of A(x, y) = 0 because the claim doesn't need to be
proven for that case.
e) We don't need the case of A(x, y) = 4 because the code has minimum distance
3.
f) We don't need the case of A(x, y) = 4 because we assumed x y.
g) We don't need the case of A(x, y) = 4 because it is taken care of by the other
cases.
h) We don't need the case of A(x, y) = 4 because the claim doesn't need to be
proven for that case.
Transcribed Image Text:In the proof of the claim that for any n-bit messages, any resulting code C with parity bits satisfying properties (0) and (1) will have minimum distance 3, we use 3 cases: A(x, y) = 1, 2 and 3. Select all that are true: a) We don't need the case of A(x, y) = 0 because the code has minimum distance 3. b) We don't need the case of A(x, y) = 0 because we assumed x # y. c) We don't need the case of A(x, y) = 0 because it is taken care of by the other cases. d) We don't need the case of A(x, y) = 0 because the claim doesn't need to be proven for that case. e) We don't need the case of A(x, y) = 4 because the code has minimum distance 3. f) We don't need the case of A(x, y) = 4 because we assumed x y. g) We don't need the case of A(x, y) = 4 because it is taken care of by the other cases. h) We don't need the case of A(x, y) = 4 because the claim doesn't need to be proven for that case.
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