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27. A code with minimum distance of 15 can detect up to how many errors?Group of answer choices105.5147

Question

27. A code with minimum distance of 15 can detect up to how many errors?

Group of answer choices
105
5
14
7

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Solution

The minimum distance of a code, often denoted as dmin, is a key parameter in error detection and correction. It is defined as the minimum Hamming distance between any two code words in a set of code words.

The number of errors that a code can detect is given by dmin - 1. This is because if you have a minimum distance of dmin, then you can have dmin - 1 errors before two code words become indistinguishable.

So, for a code with a minimum distance of 15, it can detect up to 15 - 1 = 14 errors.

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