CODE 34327 ACADEMIC YEAR 2022/2023 CREDITS 6 cfu anno 1 MATEMATICA 9011 (LM-40) - GENOVA 6 cfu anno 1 MATEMATICA 9011 (LM-40) - GENOVA 7 cfu anno 2 MATEMATICA 9011 (LM-40) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/02 TEACHING LOCATION GENOVA SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW This is an introductory course in Coding Theory. The course will be dedicated to the mathematical aspects of Coding Theory which studies the problem of correcting errors in messages transmitted through a non secure channel with noise. AIMS AND CONTENT LEARNING OUTCOMES The aim of the course is to present the basic topics of Coding Theory. AIMS AND LEARNING OUTCOMES At the end of the course students will be able to: - recognise the main classes of error correcting codes; - master the main constructions of linear codes; - recognise the principal decoding algorithms. PREREQUISITES Necessary prerequisites are the following: vector spaces, groups, fields. The courses "Algebra Lineare e Geometria Analitica" and "Algebra 2" are recommended. TEACHING METHODS Lectures. SYLLABUS/CONTENT Coding Theory: - introduction to the problem of error-correction in data transmission; - linear codes over finite fields; - Hamming distance and minimum distance decoding; - perfect and MDS codes; - Hamming codes; - codes constructions; - cyclic codes; - Goppa codes - Code-based criptography - codes on elliptic curves RECOMMENDED READING/BIBLIOGRAPHY J.H Van Lint - Introduction to coding theory H.C.A. van Tilborg - Coding Theory, a first course TEACHERS AND EXAM BOARD ALESSIO CAMINATA Ricevimento: By appointment. EMANUELA DE NEGRI Ricevimento: By appointment. Exam Board EMANUELA DE NEGRI (President) ALDO CONCA ALESSIO CAMINATA (President Substitute) LESSONS LESSONS START The class will start according to the academic calendar. Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Oral exam. Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools. ASSESSMENT METHODS Questions of the oral exam will concern the main topics presented during the lectures. The aim is to establish not only whether students will have reached an appropriate level of knowledge, but also whether they can analize and approach problems related to Coding Theory. FURTHER INFORMATION Attendance is recommended.
