Let C be a systematic linear block code with the following parity - check matrix, H
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Question:
Let C be a systematic linear block code with the following parity−check matrix,
H=[[10001011; 01001110; 00100111; 00011111]]
(a) Find the code rate of C.(3 marks)(b) Find the generator matrix of C.(3 marks)(c) Find the codeword in C for message bits ([0110]).(3 marks)(d) Find the minimum distance of this code.
(3 marks)
(3 marks)
this received vector. Using syndrome decoding, find the position of this error in r.(5 marks)(g) Design the parity−check matrix for a new (7,4) systematic linear block code by eliminating one row and one column in H, such that the new code has the largest minimum distance.
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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