turkmath.org

Although studies in elliptic curves date back to middle of nineteenth century, the inception of elliptic curve cryptography(ECC) is 1985 by Koblitzs and Millers proposal that is based on the discrete logarithm problem on an elliptic curve defined over a finite field. After that date, there are a lot of advances and studies in ECC. After giving basic information and general scheme of cryptography,this presentation would mainly concentrate on basic idea and computations of ECC. I would also mention what the advantages of ECC compare to other public key cryptosystems. At the end of presentation, I briefly talk about the further questions in ECC.