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Course Detail

Course Name Mathematical Foundations for Cyber Security
Course Code 24MA601
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 Bloom’s Taxonomy Level
CO1 Understand the basic mathematical principles and functions that form the foundation for coding and cryptography. L1,L2,L3,L4
CO2 Understand basic concepts of various algebraic structures used in computer science. L2, L3, L5
CO3 Understand basic concepts of vector spaces and inner product spaces L2,L3
CO-PO Mapping

CO-PO Mapping

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 2 2 2 1 1 1
CO 2 2 2 2 1 1 1
CO 3 2 2 2 0 0 0

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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