Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Mathematics - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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3 course to be chosen among the following
One course to be chosen among the following
Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Computational algebra (2015/2016)
Teaching code
4S001098
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/02 - ALGEBRA
Period
I semestre dal Oct 1, 2015 al Jan 29, 2016.
Learning outcomes
The course provides an introduction to coding theory, presenting the main notions and techniques for error detection and correction. Moreover, some concepts and results from algebra, which are essential in coding theory, are recalled and further developed.
Program
Tools from algebra: groups, rings, fields, classification of finite fields, roots of unity, cyclotomic polynomials, factorization in irreducible polynomials.
Introduction to coding theory. Linear codes. Weights and distances. Error detection and correction. Shannon's Theorem.
Cyclic codes. BCH codes. Reed-Solomon codes. Goppa codes. Quaternary codes. Arithmetic codes. Codes over Z4
Author | Title | Publishing house | Year | ISBN | Notes |
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W. C. Huffman, V. Pless | Fundamentals of Error-Correcting Codes | Cambridge University Press | 2010 | 0521131707 |
Examination Methods
Written and oral exam
Teaching materials e documents
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Exercises (pdf, it, 64 KB, 10/23/15)
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Lecture Notes (pdf, en, 358 KB, 9/30/15)
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Notes A. Del Rio- 18/01 version (pdf, it, 404 KB, 1/18/16)
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Notes on GAP (pdf, it, 242 KB, 1/26/16)
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Notes on Representation Theory (pdf, it, 272 KB, 1/12/16)
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Test12013/14 (pdf, it, 74 KB, 10/23/15)
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Test22013/14 (pdf, it, 61 KB, 10/23/15)
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Test32013/14 (pdf, it, 40 KB, 10/23/15)
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Test42013/14 (pdf, it, 48 KB, 10/23/15)
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Test52013/14 (pdf, it, 69 KB, 10/23/15)