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Coding of Binary Information and Error Detection (III)

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Coding of Binary Information and Error Detection (III)

Consider the (m,3m) encoding function e: B^m --> B^3m , where m = 4. For each of the received words, determine whether an error will be detected.

(a) 011010011111 (b) 110110010110
(c) 010010110010 (d) 001001111001

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This is for solving the problems of Coding of Binary Information and Error Detection. This explains mainly for finding the error of the receiving word after transmission.
It also explained the terms word, encoding function, code word and transmission of a code word.
The solution is given in detail.

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Coding of Binary Information and Error Detection (III)
By:- Thokchom Sarojkumar Sinha

Consider the (m,3m) encoding function e:B^m→B^3m , where m = 4. For each of the received words, determine whether an error will be detected.

011010011111 (b) 110110010110
(c) 010010110010 (d) 001001111001

Solution:- Consider the (m,3m) encoding function e:B^m→B^3m .
If b=b_1 b_2...b_m∈B^m ,
then define
e(b)=e(b_1 b_2...b_m )=b_1 b_2...b_m b_1 b_2...b_m b_1 b_2...b_m .

Thus the encoding function repeats each word of B^m three times.

Let m = ...

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