Computer Science – Discrete Mathematics
Scientific paper
2011-12-14
Computer Science
Discrete Mathematics
5 pages
Scientific paper
The complexity of the 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 basis with the aid of a lemma on the dual of a polynomial basis.
Liu Zhuojun
Wu Baofeng
Zhou Kai
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