be the two encoding functions given by E (wrW2w3) = wiW2WzWhW2 and E2(WiwzWz) = w,W2W3W4W5 where W4 = wi + w2 mod (2) W5 = W2 + w3 mod (2) What is the maximum weight of the error we can detect when transmitting code words using the two encoding functions?

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Let
E1, E2 : (Z/2)*3 –→ (Z/2)*5
be the two encoding functions given by
E (wwzw3) = wi W2W3W{W2
and
E2(w1W2w3) = uwiWzW/3W4W5
where
W4 = Wi + w2 mod (2)
W5 = W2 + w3 mod (2)
What is the maximum weight of the error we can detect when transmitting code
words using the two encoding functions?
Transcribed Image Text:Let E1, E2 : (Z/2)*3 –→ (Z/2)*5 be the two encoding functions given by E (wwzw3) = wi W2W3W{W2 and E2(w1W2w3) = uwiWzW/3W4W5 where W4 = Wi + w2 mod (2) W5 = W2 + w3 mod (2) What is the maximum weight of the error we can detect when transmitting code words using the two encoding functions?
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