Finite Fields and Applications I (MATH 514)

2021 Fall
Faculty of Engineering and Natural Sciences
Mathematics(MATH)
3
10.00
Nurdag├╝l Anbar Meidl nanbar@sabanciuniv.edu,
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English
Doctoral, Master
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CONTENT

Characterization of finite fields, roots of irreducible polynomials, traces, norms, and bases, representation of elements of finite fields. Order of polynomials, irreducible polynomials and their construction. Factorization of polynomials. Linear recurring sequences. Introduction to applications of finite fields; algebraic coding theory and cryptology.

OBJECTIVE

Refer to the course content

LEARNING OUTCOME

On completion of this course successfully, students should be able to
Have a sound knowledge of construction of finite fields, bases, irreducible polynomials over finite fields,
Use the results and constructions relevant to finite fields, vector spaces, and field extensions, covered in this course
Communicate logically coherent proofs, and problem solutions
Appreciate the applications of this theory

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 30
Midterm 60
Other 10

RECOMENDED or REQUIRED READINGS

Textbook

Introduction to Finite Fields and their Applications
by Rudolf Lidl and Harald Niederreiter