International Association of Engineers
Elliptic curve cryptosystems are more efficient and secure than the conventional cryptosystems like RSA cryptosystems. The authors develop a secret Key in the EKR modified Montgomery Inversion Algorithm to avoid leaks the value of function f in Almost Montgomery Inversion Algorithm. The attacker can not guess the secret key (t) to retrieve the valuable information in smart cards and mobile devices. They want to develop the new cryptosystem based on EKR Modified Montgomery Inversion Algorithm to resistance against simple power analysis attacks in side-channel attacks in elliptic curve cryptosystems like RSA cryptosystems.