Question: - Snipping Tool File Edit Tools Help New D Mode Delay A a) A binary linear block code has the following generator matrix in systematic

- Snipping Tool File Edit Tools Help New D Mode Delay A a) A binary linear block code has the following generator matrix in systematic form: 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 G= 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 [1 1 1 0 0 0 0 0 11 i) Write down the parity check equations and find the parity checkmatrix H. ii) List all code vectors and find the minimum Hamming distance of the code. iii) Draw the encoding circuit. iv) Construct the syndrome decoding circuit. v) How many errors can it correct, and how many canit detect? vi) Compute the syndrome vector for the received vector r= [110111010) and hence find the location of any error. b) Consider the following linear block codes i) (7,3); and ii) (15,11) Are these perfect codes? Write your answers with proper justifications. Activate Windows Go to Settings to activate Windows, Type here to search EN 1x 23:31 03/01/2021
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