os) jagwnu example with enrolment number 001054321, you would take a = 3, b = 2 and c = 1) and then a, digits of your take each of them (mod 2). So in the example above, a, b and c would become 1, 0, 1 respectively (each digit taken (mod 2)). Consider the polynomial x5 + ax3 + bx² + cx + 1. (a) Create a polynomial code of codeword length 8 from this generating polynomial. (b) Is your code cyclic? Justify your answer.

Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter4: Making Decisions
Section: Chapter Questions
Problem 15RQ
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my enrolment number Which is 001055536
Let a, b and c denote the last three digits of your enrolment number (so for example
with enrolment number 001054321, you would take a = 3, b = 2 and c = 1) and then
take each of them (mod 2). So in the example above, a, b and c would become 1, 0, 1
4.
%3D
respectively (each digit taken (mod 2)). Consider the polynomial
x5 + ax3 + bx² + cx + 1.
(a)
Create a polynomial code of codeword length 8 from this generating
polynomial.
(b)
Is your code cyclic? Justify your answer.
Transcribed Image Text:Let a, b and c denote the last three digits of your enrolment number (so for example with enrolment number 001054321, you would take a = 3, b = 2 and c = 1) and then take each of them (mod 2). So in the example above, a, b and c would become 1, 0, 1 4. %3D respectively (each digit taken (mod 2)). Consider the polynomial x5 + ax3 + bx² + cx + 1. (a) Create a polynomial code of codeword length 8 from this generating polynomial. (b) Is your code cyclic? Justify your answer.
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