Architectures for unified field inversion with applications in elliptic curve cryptography
Architectures for unified field inversion with applications in elliptic curve cryptography
复制标题
统一场反演架构及其在椭圆曲线密码学中的应用
DOI：
10.1109/icecs.2002.1046457
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Ç. Koç
中科院分区：
文献类型：
--
作者：
E. Savaş;Ç. Koç
我们提出了两个新的二进制扩张和素域的逆算法，这是略有修改的版本的蒙哥马利逆算法。文中还介绍了实现这些算法的硬件结构。在我们提出的架构中，字段元素使用多字格式表示，该格式允许可扩展和统一的架构在广泛的精度范围内操作。这种硬件结构可以用来获得高效的椭圆曲线密码原语的实现。
We present two new inversion algorithms for binary extension and prime fields, which are slightly modified versions of the Montgomery inverse algorithm. A hardware architecture implementing these algorithms is also introduced. In our proposed architecture, the field elements are represented using a multi-word format which allows a scalable and unified architecture to operate in a broad range of precision. This hardware architecture can be used to obtain efficient implementations of elliptic curve cryptography primitives.