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Università degli Studi di Parma Università degli Studi di Parma
Degree course in
Mathematics
Università degli Studi di Parma
Department of Mathematical, Physical and Computer Sciences

FINITE FIELDS
cod. 14856

Academic year 2013/14
2° year of course - Second semester
Professor
Academic discipline
Algebra (MAT/02)
Field
Attività formative affini o integrative
Type of training activity
Related/supplementary
48 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in - - -
lectures timetable unavailable
exam calls
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Learning objectives

Deepen the theory of finite fields, with particular regard to the problem of decomposition of polynomials over them and finding the roots of a polynomial, symbolic irreducibility, minimal q-polynomial.

Prerequisites

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Course unit content

The course deals the following main topics: Berlekamp algorithm's, the cyclotomic polynomials, traces and norms, orders of polynomials over finite fields, linearized polynomial, symbolic irreducibility, minimal q-polynomial and the fundamental theorem about him.

Full programme

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Bibliography

Mario Girardi, Giorgio Israel “Teoria dei campi” Editrice Feltrinelli

Teaching methods

The preferred teaching tool for the development of such knowledge are the lectures. The note taking is seen as part of the learning process.

Assessment methods and criteria

The assessment of learning is done in classic way, through the evaluation of an oral interview. In the colloquium, the student must be able to independently conduct demonstrations related to the intrinsic properties of the studied structures using an appropriate algebraic language and a proper mathematical formalism.

Other information

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