Java card implementation of the elliptic curve integrated encryption scheme using prime and binary finite fields

Authors:
V. Gayoso Martínez;L. Hernández Encinas;C. Sánchez Ávila
Affiliations:
Universidad Francisco de Vitoria, Madrid, Spain;Department of Information Processing and Coding, Applied Physics Institute, CSIC, Madrid, Spain;Department of Applied Mathematics to Information Technologies, Polytechnic University, Madrid, Spain
Venue:
CISIS'11 Proceedings of the 4th international conference on Computational intelligence in security for information systems
Year:
2011

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Abstract

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.