ISRO Electronics & Communication (ECE) 2010 - Question 69

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Topic: Electronics Engineering

Consider a Golay's (23, 12) code with t bits of error correction capability. For what value of t will the code exactly satisfy the Hamming bound?

  • A. 2
  • B. 3
  • C. 4
  • D. 5

Answer: D. 5

Explanation: For a code to satisfy the Hamming Bound (perfect code) like Golay (23, 12) code, we use $t=\frac{1}{2}(d-1)$ where d is minimum distance. According to the key, the answer is 5.

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