Download E-books Introduction to Cryptography with Open-Source Software (Discrete Mathematics and Its Applications) PDF

By Alasdair McAndrew

Once the privilege of a mystery few, cryptography is now taught at universities world wide. Introduction to Cryptography with Open-Source Software illustrates algorithms and cryptosystems utilizing examples and the open-source computing device algebra procedure of Sage. the writer, a famous educator within the box, presents a hugely useful studying adventure through progressing at a steady speed, conserving arithmetic at a workable point, and together with quite a few end-of-chapter exercises.

Focusing at the cryptosystems themselves instead of the technique of breaking them, the publication first explores while and the way the tools of contemporary cryptography can be utilized and misused. It then offers quantity idea and the algorithms and strategies that make up the root of cryptography this day. After a short overview of "classical" cryptography, the publication introduces details concept and examines the public-key cryptosystems of RSA and Rabin’s cryptosystem. different public-key platforms studied contain the El Gamal cryptosystem, platforms in line with knapsack difficulties, and algorithms for growing electronic signature schemes.

The moment half the textual content strikes directly to ponder bit-oriented secret-key, or symmetric, platforms appropriate for encrypting quite a lot of facts. the writer describes block ciphers (including the knowledge Encryption Standard), cryptographic hash services, finite fields, the complex Encryption common, cryptosystems in response to elliptical curves, random quantity iteration, and move ciphers. The e-book concludes with a glance at examples and purposes of contemporary cryptographic structures, reminiscent of multi-party computation, zero-knowledge proofs, oblivious move, and balloting protocols.

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