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arXiv · 1112.3153

A new proof to complexity of dual basis of a type I optimal normal basis

Baofeng Wu·Kai Zhou·Zhuojun Liu
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Abstract

The complexity of dual basis of a type I optimal normal basis of $\mathbb{F}_{q^n}$ over $\mathbb{F}_{q}$ was determined to be $3n-3$ or $3n-2$ according as $q$ is even or odd, respectively, by Z.-X. Wan and K. Zhou in 2007. We give a new proof to this result by clearly deriving the dual of a type I optimal normal basis with the aid of a lemma on the dual of a polynomial basis.

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Baofeng Wu, Kai Zhou, Zhuojun Liu. 2013-01-01. A new proof to complexity of dual basis of a type I optimal normal basis. https://arxiv.org/abs/1112.3153

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