Atay, SerapKoltuksuz, AhmetHışıl, HüseyinEren, Şaban2016-08-162016-08-162006Atay, S., Koltuksuz, A., Hışıl, H., and Eren, Ş. (2006). Computational cost analysis of elliptic curve arithmetic.Paper presented at 2006 International Conference on Hybrid Information Technology, ICHIT 2006. doi:10.1109/ICHIT.2006.2535489780769526744https://doi.org/10.1109/ICHIT.2006.253548https://hdl.handle.net/11147/21202006 International Conference on Hybrid Information Technology, ICHIT 2006; Cheju Island; South Korea; 9 November 2006 through 11 November 2006Elliptic curves are proposed for the asymmetrical cryptography by Neal Koblitz and Victor Miller in 1986 separately. Elliptic curve cryptography (ECC) is utilized by hardware embedded solutions on mobile equipments and smart cards after 2000. Currently, software implementation of ECC faces the computational speed problem. One of the proposed solutions is to do the arithmetic operations on different Euclidean coordinate systems. This paper concentrates on the research of this technique and delineates the performance results of the implementation of the aforementioned technique on the different cryptographic libraries such as CRYMPIX, GMP and MIRACL.eninfo:eu-repo/semantics/openAccessCurve fittingComputation theoryComputer softwareCryptographyNumerical methodsConference Object2-s2.0-3424727924010.1109/ICHIT.2006.253548