Consider a linear block coding ( ( LBC ) ) scheme with the following generator matrix [
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Question:
Consider a linear block coding (LBC) scheme with the following generator matrix
[C1 C2Cg]=[d1 d2 d d4] x G
where the generator matrix is
[111000011
10011001
G=
01010101
11010010
And parity check matrix
H=
[10101010]0110011000011110
11111111
a) Is this a systematic coding scheme? Why?
b) Find the equations to find c, and cg from the information bits [d, d2 d3 dal c) Write the error check equations
d) Find Gx HT
e) Determine whether the following received codewords are valid (error−free) or not. C1=[10110101]
C2=[10110100]
What is the coding rate of this coding scheme?
What is the minimum distance of this code?
What is the minimum Hamming weights of the rowsofthismatrix?
Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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