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

  • V. Gayoso Martínez
  • L. Hernández Encinas
  • C. Sánchez Ávila
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6694)

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.

Keywords

Java Card elliptic curves public key encryption schemes 

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References

  1. 1.
    Rivest, R., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystems. ACM Commun. 26, 96–99 (1983)CrossRefzbMATHGoogle Scholar
  2. 2.
    Menezes, A.J., Oorschot, P., Vanstone, S.: Handbook of applied cryptography. CRC Press, Florida (1996)CrossRefzbMATHGoogle Scholar
  3. 3.
    Miller, V.S.: Use of elliptic curves in cryptography. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol. 218, pp. 417–426. Springer, Heidelberg (1986)Google Scholar
  4. 4.
    Koblitz, N.: Elliptic curve cryptosystems. Math. Comput. 48, 203–209 (1987)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Menezes, A.J.: Elliptic curve public key cryptosystems. Kluwer Academic Publishers, Boston (1993)CrossRefzbMATHGoogle Scholar
  6. 6.
    ElGamal, T.: A public-key cryptosystem and a signature scheme based on discrete logarithm. IEEE Trans. Inform. Theory 31, 469–472 (1985)MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Preneel, B.: A survey of recent developments in cryptographic algorithms for smart cards. Comput. Netw. 51, 2223–2233 (2007)CrossRefzbMATHGoogle Scholar
  8. 8.
    Oracle Corporation. Java Card Technology, http://java.sun.com/javacard/
  9. 9.
    MAOSCO Limited. MULTOS smart card technology, http://www.multos.com
  10. 10.
    Cohen, H., Frey, G.: Handbook of elliptic and hyperelliptic curve cryptography. Chapman and Hall, Florida (2006)zbMATHGoogle Scholar
  11. 11.
    Silverman, J.H.: The arithmetic of elliptic curves. Springer, New York (1986)CrossRefzbMATHGoogle Scholar
  12. 12.
    Hankerson, D., Menezes, A.J., Vanstone, S.: Guide to elliptic curve cryptography. Springer, New York (2004)zbMATHGoogle Scholar
  13. 13.
    NIST FIPS 186-3. Digital Signature Standard (DSS). National Institute of Standards and Technology (2009)Google Scholar
  14. 14.
    ANSI X9.63. Public Key Cryptography for the Financial Services Industry: Key Agreement and Key Transport Using Elliptic Curve Cryptography. American National Standards Institute (2001)Google Scholar
  15. 15.
    IEEE 1363a. Standard Specifications for Public Key Cryptography - Amendment 1: Additional Techniques. Institute of Electrical and Electronics Engineers (2004)Google Scholar
  16. 16.
    ISO/IEC 18033-2. Information Technology – Security Techniques – Encryption Algorithms – Part 2: Asymmetric Ciphers. International Organization for Standardization / International Electrotechnical Commission (2006)Google Scholar
  17. 17.
    NXP Semiconductors. Smart Solutions for Smart Services, http://www.nxp.com/acrobat_download2/literature/9397/75016728.pdf
  18. 18.
    NXP Semiconductors. P5CT072 - Secure Dual Interface PKI Smart Card Controller (2004), http://www.nxp.com/acrobat_download2/other/identification/sfs085512.pdf
  19. 19.
    NXP Semiconductors. P5Cx012/02x/40/73/80/144 family - Secure Dual Interface and Contact PKI Smart Card Controller (2008), http://www.nxp.com/documents/data_sheet/P5CX012_02X_40_73_80_144_FAM_SDS.pdf
  20. 20.
    IETF RFC 2104. HMAC: Keyed Hashing for Message Authentication. Internet Engineering Task Force (1997), http://www.ietf.org/rfc/rfc2104
  21. 21.
    Rankl, W., Effing, W.: Smart card handbook. John Wiley & Sons, West Sussex (2003)CrossRefGoogle Scholar
  22. 22.
    Oracle Corporation. Java smart card I/O API, http://jcp.org/en/jsr/detail?id=268

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • V. Gayoso Martínez
    • 1
  • L. Hernández Encinas
    • 2
  • C. Sánchez Ávila
    • 3
  1. 1.Pozuelo de AlarcónUniversidad Francisco de VitoriaMadridSpain
  2. 2.Department of Information Processing and Coding, Applied Physics InstituteCSICMadridSpain
  3. 3.Department of Applied Mathematics to Information TechnologiesPolytechnic UniversityMadridSpain

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