Algebraic Curves in Cryptography (Hardcover)

Introduction to Algebraic Curves
Plane Curves
Algebraic Curves and Their Function Fields
Smooth Curves
Riemann-Roch Theorem
Rational Points and Zeta Functions

Introduction to Error-Correcting Codes
Introduction
Linear Codes
Bounds
Algebraic Geometry Codes
Asymptotic Behavior of Codes

Elliptic Curves and Their Applications to Cryptography 
Basic Introduction
Maps between Elliptic Curves
The Group E(F_q) and Its Torsion Subgroups
Computational Considerations on Elliptic Curves
Pairings on an Elliptic Curve
Elliptic Curve Cryptography

Secret Sharing Schemes
The Shamir Threshold Scheme
Other Threshold Schemes
General Secret Sharing Schemes
Information Rate
Quasi-Perfect Secret Sharing Schemes
Linear Secret Sharing Schemes
Multiplicative Linear Secret Sharing Schemes
Secret Sharing from Error-Correcting Codes
Secret Sharing from Algebraic Geometry Codes

Authentication Codes
Authentication Codes
Bounds of A-Codes
A-Codes and Error-Correcting Codes
Universal Hash Families and A-Codes
A-Codes from Algebraic Curves
Linear Authentication Codes

Frameproof Codes
Introduction
Constructions of Frameproof Codes without Algebraic Geometry
Asymptotic Bounds and Constructions from Algebraic Geometry
Improvements to the Asymptotic Bound

Key Distribution Schemes
Key Predistribution
Key Predistribution Schemes with Optimal Information Rates
Linear Key Predistribution Schemes
Key Predistribution Schemes from Algebraic Geometry
Key Predistribution Schemes from Cover-Free Families
Perfect Hash Families and Algebraic Geometry

Broadcast Encryption and Multicast Security
One-Time Broadcast Encryption
Multicast Re-Keying Schemes
Re-Keying Schemes with Dynamic Group Controllers
Some Applications from Algebraic Geometry

Sequences
Introduction
Linear Feedback Shift Register Sequences
Constructions of Almost Perfect Sequences
Constructions of Multisequences
Sequences with Low Correlation and Large Linear Complexity