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DCC

2000

IEEE

2000

IEEE

It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: taking a given integer multiple of a given point on the curve. The cost of the protocols depends on that of the elliptic scalar multiplication operation. Koblitz introduced a family of curves which admit especially fast elliptic scalar multiplication. His algorithm was later modified by Meier and Staffelbach. We give an improved version of the algorithm which runs 50% faster than any previous version. It is based on a new kind of representation of an integer, analogous to certain kinds of binary expansions. We also outline further speedups using precomputation and storage.

Related Content

Added |
18 Dec 2010 |

Updated |
18 Dec 2010 |

Type |
Journal |

Year |
2000 |

Where |
DCC |

Authors |
Jerome A. Solinas |

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