Linear block code

Define Block Codes

Explain with example a block parity code

define the block matrix

For a (6, 3) systematic linear block code, the codeword comprises of m0,m1,m2 as the message bits and p0,p1,p2 as the parity bits. The coded bits are given as: c0=m0⊕m1, c1=m0⊕m2, c2=m1⊕m2. Which of the statement(s) is/are correct? The error-correcting capability of the code is 1. The error-detecting capability of the code is 2. The error-correcting capability of the code is 2. The error-detecting capability of the code is 3

Determine all the code words of the code if Generator matrix for a (7,4) block code is as given below. Also if transmitted code word C=1011is received as 1111, use syndrome to correct this error.1 & 0 & 0 & 0 & : & 0 & 1 & 1 \\0 & 1 & 0 & 0 & : & 1 & 0 & 1 \\0 & 0 & 1 & 0 & : & 1 & 1 & 0 \\0 & 0 & 0 & 1 & : & 1 & 1 & 1 \\\end{bmatrix} \]