Algebraic Curves in Cryptography (Discrete Mathematics and by San Ling,Huaxiong Wang,Chaoping Xing

By San Ling,Huaxiong Wang,Chaoping Xing

The succeed in of algebraic curves in cryptography is going a long way past elliptic curve or public key cryptography but those different program parts haven't been systematically coated within the literature. Addressing this hole, Algebraic Curves in Cryptography explores the wealthy makes use of of algebraic curves in quite a number cryptographic functions, similar to mystery sharing, frameproof codes, and broadcast encryption.



Suitable for researchers and graduate scholars in arithmetic and desktop technology, this self-contained ebook is likely one of the first to target many themes in cryptography regarding algebraic curves. After delivering the required heritage on algebraic curves, the authors talk about error-correcting codes, together with algebraic geometry codes, and supply an creation to elliptic curves. every one bankruptcy within the rest of the ebook bargains with a specific subject in cryptography (other than elliptic curve cryptography). the subjects lined comprise mystery sharing schemes, authentication codes, frameproof codes, key distribution schemes, broadcast encryption, and sequences. Chapters commence with introductory fabric prior to that includes the appliance of algebraic curves.

Show description

Read Online or Download Algebraic Curves in Cryptography (Discrete Mathematics and Its Applications) PDF

Best combinatorics books

Aspects of Semidefinite Programming: Interior Point Algorithms and Selected Applications (Applied Optimization)

Semidefinite programming has been defined as linear programming for the yr 2000. it truly is an exhilarating new department of mathematical programming, because of very important functions on top of things idea, combinatorial optimization and different fields. furthermore, the profitable inside element algorithms for linear programming may be prolonged to semidefinite programming.

A Primer of Infinitesimal Analysis

Probably the most striking fresh occurrences in arithmetic is the refounding, on a rigorous foundation, of the assumption of infinitesimal volume, a idea which performed an incredible function within the early improvement of the calculus and mathematical research. during this new version easy calculus, including a few of its purposes to easy actual difficulties, are offered by utilizing an easy, rigorous, axiomatically formulated notion of 'zero-square', or 'nilpotent' infinitesimal - that's, a volume so small that its sq. and all better powers might be set, actually, to 0.

Additive Combinatorics (Cambridge Studies in Advanced Mathematics)

Additive combinatorics is the idea of counting additive buildings in units. This idea has visible interesting advancements and dramatic alterations in course in recent times because of its connections with components resembling quantity concept, ergodic concept and graph conception. This graduate-level 2006 textual content will permit scholars and researchers effortless access into this attention-grabbing box.

Recent Trends in Combinatorics (The IMA Volumes in Mathematics and its Applications)

This quantity provides many of the examine subject matters mentioned on the 2014-2015 Annual Thematic software Discrete constructions: research and purposes on the Institute for arithmetic and its functions in the course of Fall 2014, when  combinatorics used to be the point of interest. major specialists have written surveys of analysis difficulties, making state-of-the-art effects extra very easily and largely to be had.

Additional resources for Algebraic Curves in Cryptography (Discrete Mathematics and Its Applications)

Example text

Download PDF sample

Rated 4.95 of 5 – based on 23 votes