D.I.C.A.T.A.M.

Section of Mathematics

Università degli studi di Brescia

Via Branze 43

I-25123 Brescia

Section of Mathematics

Università degli studi di Brescia

Via Branze 43

I-25123 Brescia

Tel. +39 030 3715739/5776

Fax. +39 030 3715745

ResearcherID: F-4066-2010

ORCID: 0000-0003-3975-7281

Fax. +39 030 3715745

ResearcherID: F-4066-2010

ORCID: 0000-0003-3975-7281

- Elements of group theory
- Public-key protocols based on the discrete log problem: Diffie-Hellman, ElGamal, STS and their variants
- Pairing based cryptography: ID-based encryption and key escrow
- Elements of number theory
- RSA: implementation and cryptanalysis; OAEP and some security models
- Primality testing
- Digital signature
- Finite fields
- The construction of AES
- Cryptanalysis of a symmetric cryptosystem
- Elements of the theory of Elliptic Curves
- Random numbers and randomness
- Cryptographic hash functions
- Oblivious transfer and secure multipary computation
- Homomorphic cryptography
- Anonimity schemes
- Error correcting codes
- Network coding

- Introduction to linear spaces and designs; the De Brujin-ErdÅ‘s theorem and some of its consequences
- Parameters of a design and bounds on the parameters of a symmetric 2-design
- Hadamard 2-designs and Hadamard matrices: properties and some constructions; extension of a design and Hadamard 3-designs
- The Bruck-Ryser-Chowla theorem and its consequences
- Finite projective spaces and finite projective planes
- Arcs and ovals in a Finite projective plane: the theorem of Segre and the existence of hyperovals in even characteristic
- Blocking sets, Baer subplanes and Unitals
- Applications to coding theory.

- Notes on Discrete Maths (in Italian).
- Some introductory notes on Classical Cryptography with A. Sonnino, as presented during the 2005 Summer school "G. Tallini" (Potenza, in Italian).
- Notes of the lectures on An introduction to algebraic decoding of cyclic codes, 29-05-2006 and 31-05-2006, Facoltà di Ingegreria (Brescia).

- 09-07-2004, Geometry in Cryptography, talk on Elliptic Curves Cryptography, delivered at the 2004 Summer School "G. Tallini (Brescia).
- 01-12-2004, Cryptography, security and anonimity, Facoltà di Ingengeria (Brescia)