Multivariate public key cryptosystems (advances in information security book 80)

This book discusses the current research concerning public key cryptosystems. It begins with an introduction to the basic concepts of multivariate cryptography and the history of this field. Table of Contents 1. Introduction 2. Multivariate Cryptography 3. The Matsumoto-Imai Cryptosystem 4. Hidden Field Equations 5. Oil and Vinegar 6. MQDSS 7. The SimpleMatrix Encryption Scheme 8. …

Lattice-based cryptosystems: a design perspective

This book focuses on lattice-based cryptosystems, widely considered to be one of the most promising post-quantum cryptosystems and provides fundamental insights into how to construct provably secure cryptosystems from hard lattice problems. The concept of provable security is used to inform the choice of lattice tool for designing cryptosystems, including public-key encryption, identity-based e…

Cryptology for engineers: an application-oriented mathematical introduction

Cryptology for Engineers is a study of digital security in communications systems. The book covers the cryptographical functionalities of ciphering, hash generation, digital signature generation, key management and random number generation, with a clear sense of the mathematical background on the one hand and engineers' requirements on the other. Numerous examples computable by hand or with a s…

An introduction to mathematical cryptography

Contents: -- An introduction to cryptography -- Discrete logarithms and Diffie-Hellman -- Integer factorization and RSA -- Combinatorics, probability, and information theory -- Elliptic curves and cryptography -- Lattices and cryptography -- Digital signatures -- Additional topics in cryptography.

An introduction to mathematical cryptography

Contents: -- An introduction to cryptography -- Discrete logarithms and Diffie-Hellman -- Integer factorization and RSA -- Combinatorics, probability, and information theory -- Elliptic curves and cryptography -- Lattices and cryptography -- Digital signatures -- Additional topics in cryptography.

Rational points on elliptic curves

Contents 1 Geometry and arithmetic 2 Points of finite order 3 The group of rational points 4 Cubic curves over finite fields 5 Integer points on cubic curves 6 Complex multiplication

Mathematical foundations of public key cryptography

Contents Chapter 1. Divisibility of integers Chapter 2. Congruences Chapter 3. Congruences equations Chapter 4. Exponents and primitive roots Chapter 5. Some elementary results for prime distribution Chapter 6. Simple continued fractions Chapter 7. Basic concepts Chapter 8. Group theory Chapter 9. Rings and fields Chapter 10 Some mathematical problems in public key cryptography Cha…

Elliptic curves: number theory and cryptography

INTRODUCTION
THE BASIC THEORY
Weierstrass Equations
The Group Law
Projective Space and the Point at Infinity
Proof of Associativity
Other Equations for Elliptic Curves
Other Coordinate Systems
The j-Invariant
Elliptic Curves in Characteristic 2
Endomorphisms
Singular Curves
Elliptic Curves mod n
TORSION POINTS
T…

Handbook of elliptic and hiperellectic curve cryptography

1. Introduction to Public-Key Cryptography Mathematical Background 2. Algebraic Background 3. Background on p-adic Numbers 4. Background on Curves and Jacobians 5. Varieties Over Special Fields 6. Background on Pairings 7. Background on Weil Descent 8. Cohomological Background on Point Counting Elementary Arithmetic 9. Exponentiation 10. Integer Arithmetic 11. Finite Field A…

Advances in elliptic curve cryptography

Edition

-

ISBN/ISSN

9780521604154

Collation

xvi, 281 hlm.; 23 cm.

Series Title

Lecture note series

Call Number

516.3 BLA a