There H is a parity check matrix for the code C). (a) Find the dimension k of the linear code C and the output blocklength n. (b) Find the error correcting capability t of the code C. (c) Find the parity check matrix H that corresponds to this syndrome table. (d) Doorda

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(here H is a parity check matrix for the code C).
(a) Find the dimension k of the linear code C and the output blocklength n.
(b) Find the error correcting capability t of the code C.
(c) Find the parity check matrix H that corresponds to this syndrome table.
(d) Dogod: 11
Transcribed Image Text:(here H is a parity check matrix for the code C). (a) Find the dimension k of the linear code C and the output blocklength n. (b) Find the error correcting capability t of the code C. (c) Find the parity check matrix H that corresponds to this syndrome table. (d) Dogod: 11
A linear block code C is decoded using the syndrome table shown below.
V
(HUT)T
(0,0,0,0,0) (0,0,0)
(1,0,0,0,0)
(0,0,1)
(0, 0, 1, 0, 1)
(0, 1,0)
(0,1,0,0,0)
(0, 1, 1)
(0,0,1,0,0)
(1,0,0)
(0, 0, 0, 1, 0)
(1,0,1)
(0,0,0,0, 1)
(1,1,0)
(0, 1, 1, 0, 0)
(1,1,1)
Transcribed Image Text:A linear block code C is decoded using the syndrome table shown below. V (HUT)T (0,0,0,0,0) (0,0,0) (1,0,0,0,0) (0,0,1) (0, 0, 1, 0, 1) (0, 1,0) (0,1,0,0,0) (0, 1, 1) (0,0,1,0,0) (1,0,0) (0, 0, 0, 1, 0) (1,0,1) (0,0,0,0, 1) (1,1,0) (0, 1, 1, 0, 0) (1,1,1)
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