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.

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 6 of 10

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Q51.

Find the solution of x^2 ≡ 3 mod 23

x≡±16 mod 23

x≡±13 mod 23

x≡±22 mod 23

x≡±7 mod 23

Discuss

Answer: (a).x≡±16 mod 23

Q52.

Find the solution of x^2 ≡ 7 mod 19

x≡±16 mod 23

x≡±11 mod 23

x≡±14 mod 23

x≡±7 mod 23

Discuss

Answer: (b).x≡±11 mod 23

Q53.

“If we use exponentiation to encrypt/decrypt, the adversary can use logarithm to attack and this method is very efficient. “

True

False

May be

Can't say

Discuss

Answer: (b).False

Q54.

Find the order of the group G = <Z12*, ×>?

Discuss

Answer: (a).4

Q55.

Find the order of the group G = <Z21*, ×>?

Discuss

Answer: (a).12

Q56.

Find the order of group G= <Z20*, x>

Discuss

Answer: (d).8

Q57.

Find the order of group G= <Z7*, x>

Discuss

Answer: (a).6

Q58.

“In the group G = <Zn*, ×>, when the order of an element is the same as order of the group (i.e. f(n)), that element is called the Non – primitive root of the group.”

True

False

May be

Can't say

Discuss

Answer: (b).False

Q59.

In the order of group G= <Z20*, x>, what is the order of element 17?

Discuss

Answer: (b).4

Q60.

1 2 3 4 5 6 7 order7. The order of group G= <Z9, x> , primitive roots of the group are –

8 , Primitive roots- 2,3

6 , Primitive roots- 5

6 , Primitive roots- 2,5

6 , Primitive roots- 5,7

Discuss

Answer: (c).6 , Primitive roots- 2,5

Page 6 of 10

Welcome to the Number Theory and Finite Fields MCQs Page

Number Theory and Finite Fields MCQs | Page 6 of 10

Explore more Topics under Cryptography and Network Security

Cryptography Basics

Encryption Techniques

Data Encryption Standard

Advanced Encryption Algorithm

Pseudorandom Number Generation and Stream Ciphers

Public Key Cryptography and RSA

Cryptographic Hash Functions

Message Authentication Codes and Key Management

Network Security Concepts

Security in the Internet

Wireless Network Security

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