A binary linear cyclic block code Ccyc(n, k) has code length n = 14 and generator polynomial g(X) = 1+ X³ + X4 +X5. (a) If all the information symbols are '1's, what is the corresponding code vector? (b) Find the syndrome corresponding to an error in the last information symbol. Is this code capable of correcting this error?

A binary linear cyclic block code Ccyc(n, k) has code length n = 14 and generator polynomial g(X) = 1+ X³ + X4 +X5. (a) If all the information symbols are '1's, what is the corresponding code vector? (b) Find the syndrome corresponding to an error in the last information symbol. Is this code capable of correcting this error?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 50EQ

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