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Minimum distance of the (3,9) encoding function e and error detection

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Coding of Binary Information and Error Detection (IX)
Minimum Distance of the Encoding Function

Consider the (3,9) encoding function e.

e(000) = 000000000
e(001) = 011100101
e(010) = 010101000
e(011) = 110010001
e(100) = 010011010
e(101) = 111101011
e(110) = 001011000
e(111) = 110000111

(a) Find the minimum distance,
(b) How many errors will detect?

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It is for finding the minimum distance of the encoding function. The solution is detailed and well presented.

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