Contents: INTRODUCTION TO THE AES MATHEMATICAL BACKGROUND DESCRIPTION OF THE AES ALGEBRAIC PROPERTIES OF THE AES EQUATION SYSTEMS FOR THE AES ANALYSIS OF AES EQUATION SYSTEMS CLOSING REMARKS
Once considered an “unimportant” branch of topology, graph theory has come into its own through many important contributions to a wide range of fields – and is now one of the fastest-growing areas in discrete mathematics and computer science. This practical, intuitive book introduces basic concepts, definitions, theorems, and examples from graph theory. Presents a collection of interestin…
This is the third edition of this widely adopted textbook. It gets beginners creating exciting interactive graphics applications quickly using OpenGL, the most widely used 3D graphics API in the industry, and provides a solid background for future work in computer graphics
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…
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…
Termasuk bibliografi dan indeks. CONTENTS: 1 Introduction and Overview 1.1 Cryptography basics 1.2 Public-key cryptography 1.2.1 RSAsystems 1.2.2 Discrete logarithmsystems 1.2.3 Elliptic curve systems 1.3 Why elliptic curve cryptography? 1.4 Roadmap 1.5 Notes and further references 2 Finite Field Arithmetic 2.1 In…
Introduction -- Black-Box Models of Computation -- On Black-Box Ring Extraction and Integer Factorization -- Analysis of Cryptographic Assumptions in the Generic Ring Model -- The Generic Composite Residuosity Problem -- Semi-Generic Groups and Their Applications.
Content: An overview of the subject Divisibility and modular arithmetic The evolution of codemaking until the computer era Matrices and the Hill cryptosystem The evolution of codebreaking until the computer era Representation and arithmetic of integers in different bases Block cryptosystems and the data encryption standard (DES) Some number theory and algorithms Public key cry…