On the property of divisibility points of elliptic curves over finite fields on two

Abstract

In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve. Its effective implementation is achieved through a system of residual classes and approximate methods.

Keywords

• эллиптическая кривая
• система остаточных классов
• приближенный метод
• делимость точек
• elliptic curve
• system of residual classes
• approximate method
• divisibility points