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5 Cards in this Set

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  • Back
What is the Hamming distance between codewords 10010010 and 11001100?
5
What is a necessary and sufficient condition for a code being k-error-correcting?
For any two codewords, c and c', the ball of radius k about c and the ball of radius k abut c' are disjoint.
What is the maximum number of errors a code of binary words with length n can correct?
<-- this k (where |C| is the size of the code)
<-- this k (where |C| is the size of the code)
What is a perfect code?
A code for which in this inequality, equality holds.
A code for which in this inequality, equality holds.
How does Shannon define the capacity of a channel between a transmitter and a receiver?
where N(t) is the number of different sequences of messages, which can be sent in time t
where N(t) is the number of different sequences of messages, which can be sent in time t