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A Low-Power Parallel Architecture for Finite Galois Field GF(2~m) Arithmetic Operations for Elliptic Curve Cryptography

机译:椭圆曲线密码术的有限伽罗瓦场GF(2〜m)算术运算的低功耗并行架构

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摘要

In this paper, a parallel, power-efficient and scalable word-based crypto architecture is proposed that performs the operations required for scalar point multiplication including add, multiplication and inversion operations on GF(2~m) operands. The proposed architecture distinguishes itself from exiting architectures, including our prior architecture, by the fact that its resource usage and power-consumption is based on the input data. Hence, such architecture might be used for various operand sizes without modifying or reconfiguring the underlying hardware. Besides, the architecture has the ability to perform several different operations in parallel when each operation requires a small key size which significantly increases the overall performance and throughput of the system. In the absence of parallel requests, the remaining unused modules will be turned off in order to save power. The experimental results show significant improvement in the timing, throughput and energy performances with a slight overhead in the circuit area.
机译:本文提出了一种并行,高效,可扩展的基于字的密码体系结构,该体系结构执行标量点乘法所需的操作,包括对GF(2〜m)操作数进行加,乘和反运算。所提出的体系结构与现有的体系结构(包括我们现有的体系结构)的区别在于其资源使用和功耗基于输入数据这一事实。因此,这种架构可以用于各种操作数大小,而无需修改或重新配置基础硬件。此外,当每个操作需要较小的密钥大小时,该体系结构还可以并行执行多个不同的操作,这将显着提高系统的整体性能和吞吐量。在没有并行请求的情况下,将关闭其余未使用的模块,以节省电源。实验结果显示出时序,吞吐量和能量性能的显着改善,而电路区域的开销却很小。

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