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+x4 +x³+x° is a code polynomial.

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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Polynomials

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

Question

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

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