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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 5 of 10

Explore more Topics under Cryptography and Network Security

Q41.
The result of (x2 βŠ— P), and the result of (x βŠ— (x βŠ— P)) are the same, where P is a polynomial.
Discuss
Answer: (a).True
Q42.
Find the 8-bit word related to the polynomial x^6 + x + 1
Discuss
Answer: (a).01000011
Q43.
β€œAn Equations has either no solution or exactly three incongruent solutions”
Discuss
Answer: (b).False
Discuss
Answer: (d).x ≑ 5 mod 11 and x ≑ 6 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}
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.
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}
Discuss
Answer: (d).QR { 1, 3, 4, 9, 10, 12}
Q49.
Euler’s Criterion can find the solution to x2 ≑ a (mod n).
Discuss
Answer: (b).False
Q50.
Find the solution of x2≑ 16 mod 23
Discuss
Answer: (b).x = 4 and 19
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