What is the rate of hamming codes?(a) 1-[r/(2^r-1)](b) 1-(r/2^r)(c) 1+(r/2^r)(d) r/2^r+1This question was posed to me in a job interview.I want to ask this question from Checksum, Complexity Classes & NP Complete Problems topic in portion Checksum, Complexity Classes & NP Complete Problems of Data Structures & Algorithms II

What is the rate of hamming codes?(a) 1-[r/(2^r-1)](b) 1-(r/2^r)(c) 1+

1.	What is the rate of hamming codes?(a) 1-[r/(2^r-1)](b) 1-(r/2^r)(c) 1+(r/2^r)(d) r/2^r+1This question was posed to me in a job interview.I want to ask this question from Checksum, Complexity Classes & NP Complete Problems topic in portion Checksum, Complexity Classes & NP Complete Problems of Data Structures & Algorithms II
Answer» Correct option is (a) 1-[r/(2^r-1)] The best explanation: Rate of a hamming code is message length divided by BLOCK length (i.e.) 2^r-r-1/2^r-1 = 1-[r/(2^r-1)]. It is the HIGHEST rate for a minimum distance of THREE.

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