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math.NT2010★ 9 cited
Construction of self-dual normal bases and their complexity
François Arnault, Erik Jarl Pickett, Stéphane Vinatier
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 expli…
math.NT2010★ 13 cited
Self-Dual Integral Normal Bases and Galois Module Structure
Erik Jarl Pickett, Stéphane Vinatier
Let be an odd degree Galois extension of number fields with Galois group and rings of integers and ${\mathfrak O}_F=\bo$ respectively. Let …