Construction of self-dual normal bases and their complexity

Details Construction of self-dual normal bases and their complexity Construction of self-dual normal bases and their complexity

2010-07-28

arxiv.org/abs/1007.4899v2

Finite Fields and their Applications, Vol 18, Issue 2, 2012, pp 458-472

Mathematics

Number Theory

Scientific paper

10.1016/j.ffa.2011.10.002

Recent work of Pickett has given a construction of self-dual normal bases for extensions of finite fields, whenever they exist. In this article we present these results in an explicit and constructive manner and apply them, through computer search, to identify the lowest complexity of self-dual normal bases for extensions of low degree. Comparisons to similar searches amongst normal bases show that the lowest complexity is often achieved from a self-dual normal basis.

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