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Welcome to the Number Theory and Finite Fields MCQs Page

Dive deep into the fascinating world of Number Theory and Finite Fields with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Number Theory and Finite Fields, a crucial aspect of Cryptography and Network Security. In this section, you will encounter a diverse range of MCQs that cover various aspects of Number Theory and Finite Fields, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Cryptography and Network Security.

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Check out the MCQs below to embark on an enriching journey through Number Theory and Finite Fields. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Cryptography and Network Security.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Number Theory and Finite Fields. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Number Theory and Finite Fields MCQs | Page 3 of 10

Q21.
Multiplication / Division follow which operation?
Discuss
Answer: (c).AND
Discuss
Answer: (b).Both Multiplicative Inverses
Q23.
How many numbers cannot be used in GF(p) in 2n where n=4?

a.

2

b.

5

c.

3

d.

1

Discuss
Answer: (c).3
Q24.
If f(x)=x^3+x^2+2 and g(x)=x^2-x+1, find: f(x) + g(x)
Discuss
Answer: (b).x^3+2x^2-x+3
Q25.
Find the 8-bit word related to the polynomial x^5 + x^2 + x
Discuss
Answer: (c).00100110
Q26.
Find the 8-bit word related to the polynomial x^6 + x^5 + x^2 + x +1
Discuss
Answer: (d).01100111
Q27.
Primitive Polynomial is also called a ____

i) Perfect Polynomial
ii) Prime Polynomial
iii) Irreducible Polynomial
iv) Imperfect Polynomial
Discuss
Answer: (a).ii) and iii)
Q28.
Which of the following are irreducible polynomials?

i) X^4+X^3
ii) 1
iii) X^2+1
iv) X^4+X+1
Discuss
Answer: (d).All of the options
Q29.
The polynomial f(x)=x^3+x+1 is a reducible.
Discuss
Answer: (b).False
Q30.
5/3 mod 7 =

a.

2

b.

3

c.

4

d.

5

Discuss
Answer: (c).4
Page 3 of 10

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