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).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 24EQ
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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?
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