Algebraic-Geometric Codes

Security of data by means of cryptography is becoming more and more important in many areas of our lives. Public-key cryptosystems (PKC) form an important part of cryptography as they allow con­venient and secure communication between all users. The objective is to develop PKCs that provide a high level of security while being fast and easy to use. The author Robert Niebuhr analyses the application of Algebraic-Geometric Codes (AGC) in Cryptographic Systems. Start­ing with a brief discussion of Algebraic Geometry and the general construction of PKCs he shows how to use AGC including encoding decoding and error-correction. To demonstrate the concrete appli­cation he develops a Cryptosystem using the McEliece Scheme and evaluates its properties.This book is a useful reference for students professors and everybody with some mathematical background and an interest in cryptography.