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arXiv · 1809.09906

Normal Bases using 1-dimensional Algebraic Groups

Tony Ezome·Mohamadou Sall
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Abstract

This paper surveys and illustrates geometric methods for constructing normal bases allowing efficient finite field arithmetic. These bases are constructed using the additive group, the multiplicative group and the Lucas torus. We describe algorithms with quasi-linear complexity to multiply two elements given in each one of the bases.

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Tony Ezome, Mohamadou Sall. 2018-09-26. Normal Bases using 1-dimensional Algebraic Groups. https://arxiv.org/abs/1809.09906

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