4332(Show your work.) Suppose the irreducible polynomial of GF (24) isP(x) = x² + x + 1. Find x³· (x³ + x² + 1) inGF (24)A) XB) x 1c) x 6 + x 5 + x³D) x + x

Step 1: Step 2: Step 3: Step 4:

Answered: 4 3 3 2 (Show your work.) Suppose the…

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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Problem 2: Given a fixed integer B ( B2), we demonstrate that any integer N(N 2 O) can be written in a unique way inm of the sum of p+1 terms as follows: N=ae + aixB+ a2xB? + ... + 4px Bº where all as, for o sisp, are integer such that 0 Sa B-l. The notation a,dipl...de is called the represenn of N in base B. Noticas is the remainder clidean division of N by B. If Q is the quotient, a, is the remainder of the Euclidean division of etc. 1. Write an algorit that generates the representation of N in base B. 2. Compute the time complexity of your algorithm
19 Consider the group E23 (9, 17). This is the group defined by e equation y2 mod 23 = (x² + 9x + 17) mod 23. What is the screte logarithm K of Q (4, 5) to the base P = (16, 5) ?
Let C be a non-zero cyclic code in Rn. If g(x) is the monic polynomial of minimum degree in C, prove that C is generated by g(x)
(1) (a) Show that n(n² – 1)(n + 2) is divisible by 4 for all integer n. (b) Prove by contradiction : if n – m is odd , then n2 – m? is odd .
can you explain how you got the answer
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(2n)2 is Q(n²) O True O False
Use resolution to show Vx Vy[p(x, y) → ¬p(y, x)] F ¬p(x, x)
Add the polynomials A(x) = x4 + x3 + x2 + 1 and B(x) = x2 + 1 in GF(25) using the irreducible polynomial P(x) = x4 + 1. Give the answer in binary representation and show your calculations.
You are given a third-degree polynomial function f(x) as follows. f(x)=x3-2x2+64x+128 x0=-2.32 (a) Calculate the function value f(x0) and store it in literal (variable) y0. The value for x0 is given in the table.(b) Using Newton's method, find a root for the given function which makes f(x) = 0. The starting point x0 is given in the table. Use error margin as 10−4.Store the root in literal r. Could you write the codes by using Pyhton 3?

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4 3 3 2 (Show your work.) Suppose the irreducible polynomial of GF (24) is P(x) = x² + x + 1. Find x³· (x³ + x² + 1) in GF (24) A) X B) x 1 c) x 6 + x 5 + x³ D) x + x