Q3. Find out the generator Matrix for a systematic (7,4) cyclic code if G(P) = p^3 + p + 1. Also find out the parity check matrix
Added by Dana C.
Close
Step 1
This is a degree 3 polynomial, so the code is a (7,4) cyclic code. Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 57 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find a generator matrix and a parity-check matrix for the linear code generated by each of the following sets, and give the parameters [n, k, d] for each of these codes: (a) q = 2, S = {1000, 0110, 0010, 0001, 1001}, (b) q = 3, S = {110000, 011000, 001100, 000110, 000011}, (c) q= 2, S ={10101010, 11001100, 11110000,01100110,00111100}.
Christopher D.
A linear cyclic block code (n, k) has code length of n = 14 and has generator polynomial g(X) = 1 + X2 + X6 (a) Determine the number of information and parity check bits in each code vector. (b) Determine the number of code vectors in the code. (c) Determine the generator and parity check matrices of the code
Sri K.
Q1. Consider a (5,1) linear block code defined by the generator matrix G = [1 1 1 1 1] a) Determine the number of information and parity check bit bits for each codeword. b) Write down the parity check equations. c) List all code vectors and find the minimum Hamming distance of the code. d) Draw the encoding circuit. e) Find the parity check matrix H, corresponding to the G matrix. f) Construct the syndrome decoding circuit. g) Compute the syndrome vector for the received vector r = [a a a a a] and hence find the location of any error.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD