Question 7. Let g(X) = X¹ + X³ + X² + 1 € F₂[X]. We consider a [7, 3]- cyclic code C of generator g(X).
Question 7. Let g(X) = X¹ + X³ + X² + 1 € F₂[X]. We consider a [7, 3]- cyclic code C of generator g(X).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For this question I have to find a parity check polynomial of C and determine whether [1,1,1,0,0,1,0]. For the parity check polynomial I got x^3-1 which I'm not sure if it's correct? And how do I check whether [1,1,1,0,0,1,0] is in C or not?
![Question 7. Let g(X) = X¹ + X³ + X² + 1 € F₂[X]. We consider a [7, 3]-
cyclic code C of generator g(X).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2521d3ac-1f2b-4213-a1c7-670c7b844752%2F2cd8b36a-70e4-4af3-89dc-c77189cd6d93%2Foirzhie_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 7. Let g(X) = X¹ + X³ + X² + 1 € F₂[X]. We consider a [7, 3]-
cyclic code C of generator g(X).
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