Abstract

This paper presents an improved security scheme using a hybrid of elliptic curve integrated encryption and provably secure elliptic curve with cyclotomic points. The proposed scheme uses Weierstrass form of an elliptic curve and cyclotomic polynomial, by creating a relationship to uniquely generate a hash function to form a structure from a coordinate in the curve and variable in the polynomial. The scheme was tested using e-payment information for mutual agreement and transaction authentication. The scheme is secured for encryption of information with low computational time and useful to fight against small subgroup, chosen ciphertext attacks and ensures data confidentiality and integrity.

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