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What is the message length ‘k’ of a Hamming(7,4) code?(a) 2^r-1(b) 2^r-r+1(c) 2^r-r-1(d) 2^r+1-rThis question was posed to me during an internship interview.My question is based upon Checksum, Complexity Classes & NP Complete Problems topic in portion Checksum, Complexity Classes & NP Complete Problems of Data Structures & Algorithms II

Answer» RIGHT answer is (c) 2^r-r-1

Easiest EXPLANATION - Hamming CODES are a class of binary linear codes, hence r>=2. For a hamming(7,4) code, the message length ‘k’ is 2^r-r-1 where r is the parity BIT. Here, r=3.


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