摘要
In this study,it is aimed to develop an encryption algorithm by finding a third point based on the line equation and the two points taken on it.In the literature review,a method was found to find the third point based on the two points given on the elliptic curves y2=x3+a·x+b,where a and b are real numbers.However,it has not been found adapted to the correct equation.In this study,it is proved that this method,which is primarily used in elliptic curves,is provided in line equations that intersect both axes.Then,using this method,an encryption algorithm has been made by connecting the points where the axes are cut to ASCII Character Codes and finding the third point.Thanks to the algorithm,an encryption consisting of two numbers was made for these binary characters by taking binary characters for each character of a secret text.This algorithm has some differences from other algorithms.The first of these is that normal encryption algorithms generate a separate password for each character,while a password is created for two characters in the algorithm.The second difference is that a character can be encoded in infinitely different ways due to the formation of the algorithm.When the software of this algorithm is made,it can be used in every field where Elliptic Curve Algorithm is used.In addition,instead of finding only a third point in encryption with the correct equation,studies can be done to create different algorithms by finding a different number of third points.
作者简介
Corresponding author:Remzi Aktay,Math Teacher,research field:computational number theory.E-mail:aktayremzi@outlook.com,。
