Java Card Implementation of the Elliptic Curve Integrated Encryption Scheme Using Prime and Binary Finite Fields

摘要

Elliptic Curve Cryptography (ECC) can be considered an approach to public-key cryptography based on the arithmetic of elliptic curves and the Elliptic Curve Discrete Logarithm Problem (ECDLP). Regarding encryption, the best-known scheme based on ECC is the Elliptic Curve Integrated Encryption Scheme (ECIES), included in standards from ANSI, IEEE, and also ISO/IEC. In the present work, we provide a comparison of two Java Card implementations of ECIES that we have developed using prime and binary fields, respectively.