(a) Construct a( 15,5) systematic cyclic Code by givingthe generator polynamial,generator matrix Gusingg(x) =(x*-x'+ x*+X+21) ( x*+x +1) (x*+X+1)g(x) = (+X²+ x²+ X+1)( x*+ x + 1) (x²+X+1)(b) what is the minimum distance of this Code usingits Pority matrix H ( should showit) ?

As per Bartleby guidelines, Since you have asked multiple question, we will solve the first question…

Construct a( l5,5) systematic cyclic Code by giving generator matrix G g(x) -(x*»x'+ x*+X+1)( x*+ x + 1) (x÷-X+1) using the generator poly nomial,

Construct a( l5,5) systematic cyclic Code by giving generator matrix G g(x) -(x»x'+ x+X+1)( x*+ x + 1) (x÷-X+1) using the generator poly nomial,

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Representation of Polynomial

It is necessary for the polynomial expression that each expression consists of two parts:

Question

(a) Construct a( 15,5) systematic cyclic Code by giving
the generator polynamial,
generator matrix G
using
g(x) =(x*-x'+ x*+X+21) ( x*+x +1) (x*+X+1)
g(x) = (
+X²+ x²+ X+1)( x*+ x + 1) (x²+X+1)
(b) what is the minimum distance of this Code using
its Pority matrix H ( should showit) ?

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