# NPTEL Computational Number Theory and Algebra Assignment 10 Answer

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NPTEL Computational Number Theory and Algebra Assignment 10 Answer – Here All The Questions and Answers Provided to Help All The Students and NPTEL Candidate as a Reference Purpose, It is Mandetory to Submit Your Weekly Assignment By Your Own Understand Level.

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## NPTEL Computational Number Theory and Algebra Assignment

Algebra plays an important role in both finding algorithms, and understanding the limitations of computation. This course will focus on some of the fundamental algebraic concepts that arise in computation, and the algebraic algorithms that have applications in real life. The course will cover the problems of fast integer (or polynomial) multiplication (or factoring), fast matrix multiplication, primality testing, computing discrete logarithm, error-correcting codes, lattice- based cryptography, etc. The course intends to introduce both basic concepts and practical applications.

INTENDED AUDIENCE  : Computer Science & Engineering, Mathematics, Electronics, Physics, & similar disciplines.
PREREQUISITES  : Preferable (but not necessary)– Theory of Computation, Algorithms, Algebra
INDUSTRIES  SUPPORT     : Cryptography, Coding theory, Computer Algebra, Symbolic Computing Software, Cyber Security, Learning Software

This course can have Associate in Nursing unproctored programming communication conjointly excluding the Proctored communication, please check announcement section for date and time. The programming communication can have a weightage of twenty fifth towards the ultimate score.

Final score = Assignment score + Unproctored programming exam score + Proctored Exam score
• Assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
• ( All assignments in a particular week will be counted towards final scoring – quizzes and programming assignments).
• Unproctored programming exam score = 25% of the average scores obtained as part of Unproctored programming exam – out of 100
• Proctored Exam score =50% of the proctored certification exam score out of 100
YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF ASSIGNMENT SCORE >=10/25 AND
UNPROCTORED PROGRAMMING EXAM SCORE >=10/25 AND PROCTORED EXAM SCORE >= 20/50.
If any one of the 3 criteria is not met, you will not be eligible for the certificate even if the Final score >= 40/100.

## BELOW YOU CAN GET YOUR NPTEL Computational Number Theory and Algebra Assignment 10 Answer 2022? :

Assignment not submitted
1 point

Let |v||v| be the length of the shortest vector v in a given lattice. Which of the following is true for the LLL algorithm?

Ans  – A
1 point
Suppose a client uses NTRU cryptosystem to communicate with his/her bank. Let the ciphertext e generated by client to send message m to Bank be, e = m + prh (mod q), where p,r,q and h are as discussed in lectures. Which of the following parameters is kept secret by client so that no adversary can recover m from e?

Ans  –  B
1 point

Which of the following is true for all a(Z/<n>)a∈(Z/<n>)∗?

Ans  –  D
1 point

Recall the Legendre symbol (ap)(ap) where pp is prime and aZa∈Z. Which of the following is true?

1. (ap)=ap12modp(ap)=ap−12modp.

2. aa is a quadratic residue in FpFp∗ iff (ap)=1(ap)=1.

Ans  –  C
1 point
Which of the following is true about Carmichael numbers?

Ans  –  D
1 point
Which of the following is true?

Ans  –  B
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