For a (8,3) code and the systematic cyclic code generator 1+X+X^4+X^5. Show all
ID: 663028 • Letter: F
Question
For a (8,3) code and the systematic cyclic code generator 1+X+X^4+X^5. Show all work.
a) Determine the code words for 4 of the possible messages.
b) What is the error detection and error correction capability of this code.
c) Define an eror correction look-up table for all correctable errors per result in part b.
d) Find the syndrome of the received vector 00010101. Correct the received code using the look-up table from part c.
e) What is the original message based on your result in part d.
f) What is the probability of an undetected error if p +10^-3.
Explanation / Answer
code: 1+x