在GF(p)上实现高速标量乘法

2017 International Conference on Electron Devices and Solid-State Circuits (EDSSC) Pub Date : 2017-10-01 DOI:10.1109/EDSSC.2017.8126445

Yufei Xing, Shuguo Li

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引用次数: 2

摘要

椭圆曲线密码学(ECC)得到了广泛的应用，其坐标系统的选择对基本的点加倍和点相加运算有着重要的影响。本文研究了定点和不定点标量乘法对应的最适合坐标系，并给出了两种情况下的实现方案。此外，我们还研究了两种方案中所涉及的参数选择，这对标量乘法的速度和存储需求都有影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Towards high speed scalar multiplication over GF(p)

Elliptic curve cryptography(ECC) has gained tremendous popularity and the selection of coordinate systems has a significant impact on basic point doubling and point addition operations. In this paper, we investigate into the best suited coordinate systems corresponding to scalar multiplication with a fixed point as well as with an unfixed point and give out implementation schemes in both cases. Besides, we look into parameter selection involved in both schemes, which impacts both the speed of scalar multiplication and storage requirement.

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2017 International Conference on Electron Devices and Solid-State Circuits (EDSSC)

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