Algebraic-Geometric Codes
Construction and Application in Cryptography
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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. Theobjective 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 showshow to use AGC including encoding, dec...
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. Theobjective 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 showshow 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.
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