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.

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