First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
ICT FOR INTERNET AND MULTIMEDIA
Course unit
CRYPTOGRAPHY
INP7080692, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
ICT FOR INTERNET AND MULTIMEDIA
IN2371, Degree course structure A.Y. 2017/18, A.Y. 2017/18
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Degree course track CYBERSYSTEMS [002PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination CRYPTOGRAPHY
Department of reference Department of Information Engineering
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge ALESSANDRO LANGUASCO MAT/05

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
SC04111836 CRYPTOGRAPHY ALESSANDRO LANGUASCO SC1172

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines MAT/05 Mathematical Analysis 6.0

Mode of delivery (when and how)
Period First semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 25/09/2017
End of activities 19/01/2018

Examination board
Board From To Members of the board
4 Crittografia - 2017/2018 01/10/2017 30/09/2018 LANGUASCO ALESSANDRO (Presidente)
TONOLO ALBERTO (Membro Effettivo)
FILE' GILBERTO (Supplente)
PUTTI MARIO (Supplente)
RANZATO FRANCESCO (Supplente)
3 Crittografia - 2016/2017 01/10/2016 30/11/2017 LANGUASCO ALESSANDRO (Presidente)
TONOLO ALBERTO (Membro Effettivo)
FILE' GILBERTO (Supplente)
PUTTI MARIO (Supplente)
RANZATO FRANCESCO (Supplente)

Syllabus
Prerequisites: The topics of the following courses: Algebra, Calculus.
Target skills and knowledge: The main goal of the Cryptography course is to give an overview
of the theoretical basis of the field in order to allow a critical study of the cryptographic protocols used in many applications (authentication, digital commerce). In the first part we will give the mathematical basic tools (essentially from elementary and analytic number theory) that are required to understand modern public-key methods. In the second part we will see how to apply this know-how to study and criticize some protocols currently used.
Examination methods: Written exam
Assessment criteria: During the written exam the student will have to reply to some questions about the topics taught during the lectures.
The maximal mark (30/30) will be conferred to error-free exams only. If the written exam will not be sufficient to decide
the evaluation mark, the teacher will ask some further questions
to be directly replied on the blackboard.
Course unit contents: First Part: Basic theoretical facts: Modular arithmetic. Prime numbers. Little Fermat theorem. Chinese remainder theorem. Finite fields: order of an element and primitive roots. Pseudoprimality tests. Agrawal-Kayal-Saxena's test. RSA method: first description, attacks. Rabin's method and its connection with the integer factorization. Discrete logarithm methods. How to compute the discrete log in a finite field. Elementary factorization methods. Some remarks on Pomerance's quadratic sieve.
Second Part: Protocols and algorithms. Fundamental crypto algorithms. Symmetric methods (historical ones, DES, AES) . Asymmetric methods. Attacks. Digital signature. Pseudorandom generators (remarks). Key exchange, Key exchange in three steps, secret splitting, secret sharing, secret broadcasting, timestamping. Signatures with RSA and discrete log.
Planned learning activities and teaching methods: Classroom lectures.
Additional notes about suggested reading: We will use the following textbooks:
1) A.Languasco, A.Zaccagnini - Manuale di Crittografia - Hoepli Editore, 2015. (italian).
2) N.Koblitz - A Course in Number Theory and Cryptography, Springer, 1994.
3) R.Crandall, C.Pomerance, - Prime numbers: A computational perspective - Springer, 2005.
4) B. Schneier - Applied Cryptography - Wiley, 1994
Textbooks (and optional supplementary readings)
  • A. Languasco e A. Zaccagnini, Manuale di Crittografia. Milano: Hoepli, 2015. in lingua italiana Cerca nel catalogo