Exploring Alternative Elliptic Curves for Bitcoin: An Efficiency Comparison

Abstract

Bitcoin is the most famous digital currency in terms of prevalence and market value, so one of the challenges we have is to protect bitcoin transfers. Bitcoin uses elliptic curves especially, the curve Secp265k1 in encrypting the transfer of bitcoin through people, in this article, we made a comparison of efficiency between a set of curves in order to choose the best curve to use in this process. In this article, we investigate some curves in twisted-Edward form such as Ed25519, Ed488-Goldilocks and E-521 are more efficacy than the other curves proposed by 10% for addition and 18% for multiplication. So the choose of the curves in this form give the Bitcoin more advantages in the process of efficiency.