# NPTEL Computational Number Theory and Algebra Assignment 9 Answer

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NPTEL Computational Number Theory and Algebra Assignment 9 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 9 Answer 2022? :

Assignment not submitted
1 point

Let f=x3+13x2+50x+56f=x3+13×2+50x+56. In LLL algorithm, the first step involves computing f (mod p), where p is a “suitable” prime. Which of the following primes will LLL algorithm choose?

Ans  – C
1 point
Which of the following is false?

Ans  –  B
1 point

Let L{v1;v2}L{v1;v2} be the lattice generated by vectors v1,v2v1,v2. Then, which of the following is true?

Ans  –  A
1 point

Let f(x)Fp[x]f(x)∈Fp[x] be a non-constant univariate polynomial where pp is prime. For any aFpa∈Fp, call f(x+a)f(x+a) the ‘shift of ff by aa‘. Which of the following is true?

1. If ff is reducible then every shift of ff is reducible.

2. If ff is irreducible then some shift of ff may not be irreducible.

Ans  –  C
1 point

Let f:=xy2f:=x−y2 and g:=x2yg:=x2−y are two polynomials in Fp[x,y]Fp[x,y] with pp prime. Which of the following is true about any common zero (a,b)F2p(a,b)∈Fp2 of ff and gg?

Ans  –  B
1 point

The L3L3 algorithm to factor a univariate polynomial fQ[x]f∈Q[x] (as discussed in lectures) requires?

1. Factoring in finite fields.

2. Hensel’s lifting.

Ans  –  C
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