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Design of Elliptic Curve Cryptography in GSI

In: Current Trends in High Performance Computing and Its Applications

Author

Listed:
  • Yanqin Zhu

    (Soochow University, Computer Science & Technology School)

  • Xia Lin

    (Soochow University, Computer Science & Technology School)

  • Gang Wang

    (Soochow University, Computer Science & Technology School)

Abstract

In this paper, the main ideas of applications using elliptic curve cryptography in the grid security infrastructure are presented. The grid security infrastructure offers secure communication between varied elements within a grid, based on public key cryptography. The main attraction of ECC compared to RSA is that the best algorithm known for solving the elliptic curve discrete logarithm problem takes fully exponential time. This means that significantly smaller parameters can be used in ECC than in other systems such as RSA, but with equivalent levels of security. The schemes of ECC which include key generation, digital signature and key exchange are described in this paper. Several fast algorithms of implementation of ECC are also introduced.

Suggested Citation

  • Yanqin Zhu & Xia Lin & Gang Wang, 2005. "Design of Elliptic Curve Cryptography in GSI," Springer Books, in: Wu Zhang & Weiqin Tong & Zhangxin Chen & Roland Glowinski (ed.), Current Trends in High Performance Computing and Its Applications, pages 623-628, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27912-9_88
    DOI: 10.1007/3-540-27912-1_88
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