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Course Detail

Course Name Mathematical Foundations for Cyber Security
Course Code 26MA601
Program M. Tech. in Cyber Security
Semester 1
Credits 2
Campus Coimbatore

Syllabus

Syllabus

Elementary Number Theory, Congruence, Quadratic Residues, Primitive roots, Algorithms for primality testing, Integer Factorization and Discrete Logarithm. Algebraic Structures – Groups, Vector space, Subspace, Inner product space, Orthogonalization, Diagonalization.

Objectives and Outcomes

Prerequisites

Basics of Set Theory 

Course Outcome
Course Outcome(CO) Bloom’s Taxonomy Level
CO 1 Apply concepts of number theory, congruences, quadratic residues, and primitive roots. L4
CO 2 Analyze algorithms for primality testing, integer factorization, and discrete logarithms. L4
CO 3 Apply algebraic structures, vector spaces, inner product spaces, orthogonalization, and diagonalization. L3
CO-PO Mapping

CO-PO Mapping (1-Low, 2-Medium, 3-High)

CO/PO PO 1 PO 2 PO 3 PO 4 PO 5 PO 6 PO 7 PO 8 PO 9 PO 10 PSO1 PSO2 PSO3
CO 1 3 2 2 2 2 3 1
CO 2 3 3 2 2 2 2 2 3 3
CO 3 2 2 2 2 1 2 2 1

Text Books / References

  1. R. Lidl and H. Niederreiter, Finite Fields , 2nd Edition, Cambridge University Press, 1997.
  2. S.Y. Yan, Number Theory for Computing , 2nd Edition, Springer, Berlin, 2002.
  3. G. Strang, Introduction to Linear Algebra , 4th Edition, Wellesley-Cambridge Press, 2009.
  4. J. H . Silverman, The Arithmetic of Elliptic Curves, Vol. 106, Dordrecht: Springer, 2009.
  5. A. Joux, Algorithmic Cryptanalysis, Chapman & Hall/CRC Cryptography and Series, 2009.
  6. Abijit Das, Computational Number theory , CRC Press, 2013.
  7. Alko R. Meijer, Algebra for cryptologists , Springer, 2016.

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