Elementary number theory cryptography and codes free ebook

Skip to content Author : M. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field.

Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter.

More information Read Now. Elementary Number Theory, Cryptography and Codes In this volume one finds basic techniques from algebra and number theory e.

Full description Main Authors: Baldoni, M. Data Structures And Information Theory. Data Structures computer Science. Description Table of Contents Staff View Summary: In this volume one finds basic techniques from algebra and number theory e. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. A round-up on numbers.

Pages Computational complexity. From infinite to finite. Finite is not enough: factoring integers. Finite fields and polynomial congruences. Primality and factorisation tests. Secrets… and lies. Transmitting without…fear of errors. The future is already here: quantum cryptography. Back Matter Pages