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 5 of 10

Explore more Topics under Cryptography and Network Security

01

Cryptography Basics

02

Encryption Techniques

03

Data Encryption Standard

04

Advanced Encryption Algorithm

05

Pseudorandom Number Generation and Stream Ciphers

06

Public Key Cryptography and RSA

07

Cryptographic Hash Functions

08

Message Authentication Codes and Key Management

09

Network Security Concepts

10

Security in the Internet

11

Wireless Network Security

Q41.

The result of (x2 ⊗ P), and the result of (x ⊗ (x ⊗ P)) are the same, where P is a polynomial.

True

False

Can’t Say

Insufficient Data

Discuss

Answer: (a).True

Q42.

Find the 8-bit word related to the polynomial x^6 + x + 1

01000011

01000110

10100110

11001010

Discuss

Answer: (a).01000011

Q43.

“An Equations has either no solution or exactly three incongruent solutions”

True

False

May be

Can't say

Discuss

Answer: (b).False

Q44.

Find the solution of x^2 ≡ 3 mod 11

x ≡ -9 mod 11 and x≡ 9 mod 11

x ≡ 9 mod 11

No Solution

x ≡ 5 mod 11 and x ≡ 6 mod 11

Discuss

Answer: (d).x ≡ 5 mod 11 and x ≡ 6 mod 11

Q45.

Find the solution of x^2 ≡ 2 mod 11

No Solution

x ≡ 9 mod 11

x ≡ 4 mod 11

x ≡ 4 mod 11 and x ≡ 7 mod 11

Discuss

Answer: (a).No Solution

Q46.

Find the set of quadratic residues in the set –

Z11* = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

QR set = {1, 2, 4, 5, 9} of Z11*

QR set = {1, 3, 6, 5, 9} of Z11*

QR set = {1, 3, 4, 9,10} of Z11*

QR set = {1, 3, 4, 5, 9} of Z11*

Discuss

Answer: (d).QR set = {1, 3, 4, 5, 9} of Z11*

Q47.

In Zp* with (p-1) elements exactly:

(p – 1)/2 elements are QR and
(p – 1)/2 elements are QNR.

True

False

May be

Can't say

Discuss

Answer: (a).True

Q48.

Find the set of quadratic residues in the set –

Z13* = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,11,12}

QR { 1, 2, 4,5, 10, 12}

QR { 2, 4, 5, 9, 11, 12}

QR { 1, 2, 4,5,10, 11}

QR { 1, 3, 4, 9, 10, 12}

Discuss

Answer: (d).QR { 1, 3, 4, 9, 10, 12}

Q49.

Euler’s Criterion can find the solution to x2 ≡ a (mod n).

True

False

May be

Can't say

Discuss

Answer: (b).False

Q50.

Find the solution of x2≡ 16 mod 23

x = 6 and 17

x = 4 and 19

x = 11 and 12

x = 7 and 16

Discuss

Answer: (b).x = 4 and 19

Page 5 of 10

Welcome to the Number Theory and Finite Fields MCQs Page

Number Theory and Finite Fields MCQs | Page 5 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

Suggested Topics

CSS

Cyber Security

IT Fundamentals

Software Engineering

Microprocessor

Systems Analysis and Design Methods

Software Architecture and Design

PHP

MATLAB