Aritmetica, crittografia e codici = Arithmetic, cryptography and codes

Aritmetica, crittografia e codici = Arithmetic, cryptography and codes

Author
Welleda Maria Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo
Publication Year
2006
Publisher
Springer
Language
Italian
Document Type
Book
Faculty / Subject Heading
Mathematics and Statistics

The basic techniques of algebra and number theory useful in recent applications to cryptography and codes are developed, with the aim of being elementary and self-sufficient. The emphasis is on computational problems. This part of the volume can be useful as a textbook for a first course in algebra for mathematicians, computer scientists or engineers. Important applications of algebra and geometry to cryptography and codes are then illustrated. Both, cryptography and codes have significant applications in daily life which are illustrated here. Cryptography is developed in detail in much of its classic and current aspects, and both private and public key cryptography are developed. Cryptography with the use of elliptic curves on finite fields is also illustrated. A chapter introducing the subject is dedicated to linear codes.


Keywords: Mathematics and Statistics / Algebra / Crittografia / Crittography / Geometria / Geometry / Teoria dei numeri / Number Theory / Volume