GF(2m)上的低复杂度高斯正态基乘法器

C. Chiou, H. Chang, Wen-Yew Liang, Chiou-Yng Lee, Jim-Min Lin, Yun-Chi Yeh
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引用次数: 16

摘要

椭圆曲线密码系统(ECC)由于密钥尺寸小,在便携式设备中应用非常有吸引力。在GF(2m)上的有限域乘法是实现ECC的最重要算法。便携式设备通常具有有限的计算能力和内存资源。这项工作将提出一种简单的方法来设计一个高斯正态基(GNB)乘法器在GF(2 m)上,只需要更少的计算能力,同时保持更低的成本。与现有的GNB乘法器相比,所提出的高斯NB乘法器节省了57%的空间复杂度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Low-complexity Gaussian normal basis multiplier over GF(2m)
The elliptic curve cryptosystem (ECC) is very attractive for the use in portable devices because of the small key size. The finite field multiplication over GF(2 m ) is the most important arithmetic for performing the ECC. Portable devices usually have restricted computation power and memory resources. This work will present a simple method for designing a Gaussian normal basis (GNB) multiplier over GF(2 m ) needing only fewer computation power whereas keeping lower cost. The proposed Gaussian NB multiplier saves � 57% space complexity as compared with existing GNB multiplier.
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