Modified Elliptic Curve Discrete Log Problem: A New One-Way Function and its Cryptanalysis

Abstract

In this paper we explain the concept of the one-way functions and their use in cryptography. We explain in detail the use of one-way function like Integer factorization and it use in RSA algorithm. We describe its cryptanalysis. We explain the discrete log problem and its cryptanalysis. We introduce a novel one-way function called Modified Elliptic Curve discrete log problem (MECDLP). We explain its cryptanalysis also.