Projective Geometries over Finite Fields

📁 Projective Geometries over Finite Fields

✍ Hirschfield J. W. 📂 Library 📅 1980 🌐 English

This book is an account of the combinatorics of projective spaces over a finite field, with special emphasis on one and two dimensions. With its successor volumes, Finite projective spaces over three dimensions (1985), which is devoted to three dimensions, and General Galois geometries(1991), on a g

Higher-Dimensional Geometry Over Finite

📁 Higher-Dimensional Geometry Over Finite Fields

✍ Y. Tschinkel, Y. Tschinkel 📂 Library 📅 2008 🏛 IOS Press 🌐 English

Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the most important such number systems, playing a vital role in military and civilian communications through coding theory and cryptography. These

Higher-dimensional geometry over finite

📁 Higher-dimensional geometry over finite fields

✍ Kaledin D., Tschinkel Y. (eds.) 📂 Library 📅 2008 🏛 IOS Press 🌐 English

Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the most important such number systems, playing a vital role in military and civilian communications through coding theory and cryptography. These

Algebraic Curves over Finite Fields

📁 Algebraic Curves over Finite Fields

✍ Carlos Moreno 📂 Library 📅 1991 🏛 Cambridge University Press 🌐 English

Lacunary Polynomials Over Finite Fields

📁 Lacunary Polynomials Over Finite Fields

✍ L. Rédei (Auth.) 📂 Library 📅 1973 🏛 Elsevier Inc, Akademiai Kiado 🌐 English

Algebraic Curves over Finite Fields

📁 Algebraic Curves over Finite Fields

✍ Carlos Moreno 📂 Library 📅 1991 🏛 Cambridge University Press 🌐 English

In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Among the applications considered are: the problem of counting the number of solutions o