Digital signatures with elliptic curves

vDIGITAL SIGNATURES WITH ELLIPTIC CURVES(M.Sc. Thesis)Fatih DEĞ RMENCGAZI UNIVERSITYINSTITUTE OF SCIENCE AND TECHNOLOGYDecember 2006ABSTRACTIn this thesis, Public Key Cryptography and mathematical foundations areexamined. Simulation of Elliptic Curve Digital Signature System are realized.Another Public Key Cryptosystem RSA is also covered. Digital SignatureGeneration Algorithm is explained in detail and differences between RSA andElliptic Curve Cryptographic Systems are examined. For the simulation of theElliptic Curve Digital Signature System, an application is developed using C++and Object Oriented Programming Techniques. Digital signature generationprocess is modelled with this application.Science Code : 905.1.011Key Words : Cryptography, Elliptic curves, Digital signatures, RSAPage Number : 76Adviser : Asst. Prof. Dr. Erkan AFACAN