Bounds of some parameters of elliptic curve on finite field

TL;DR

This paper establishes lower bounds for certain parameters of elliptic curves over finite fields, which are crucial for understanding their cryptographic stability.

Contribution

It provides new theoretical lower bounds for elliptic curve parameters related to cryptographic security.

Findings

Lower bounds for elliptic curve parameters established

Implications for cryptographic stability analyzed

Theoretical framework developed

Abstract

I prove lower bounds of some parameters of elliptic curve over finite field. There parameters are closely interrelated with cryptographic stability of elliptic curve.