.23(1) Let h (x)=1+x²+x³ +x* be the paritycheck polynomial of a C(7, 4) cyclic code.(a) Show that v(x)=x+x4+x°+x° is a codepolynomial.(b) Find the corresponding messagepolynomial u(x).

Given the code is a C7,4 cyclic code. Thus, the highest order of the code word will be k-1=4-1=3.…

Answered: (1) Let h(x)=1+x²+x³+x* be the parity…

(1) Let h(x)=1+x²+x³+x* be the parity check polynomial of a C(7, 4) cyclic code. (a) Show that v(x)=x+x*+x°+x° is a code polynomial. (b) Find the corresponding message polynomial u(x).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 54E

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

.2
3
(1) Let h (x)=1+x²+x³ +x* be the parity
check polynomial of a C(7, 4) cyclic code.
(a) Show that v(x)=x+x4+x°+x° is a code
polynomial.
(b) Find the corresponding message
polynomial u(x).

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