13 citations · 35 across the 5 of their papers we have counts for
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Explicit Construction of Self-Dual Integral Normal Bases for the Square-Root of the Inverse Different
Erik Jarl Pickett
Let be a finite extension of $\Q_p$, let be a finite abelian Galois extension of odd degree and let $\bo_L$ be the valuation ring of . We define to be the un…
Construction of Self-Dual Integral Normal Bases in Abelian Extensions of Finite and Local Fields
Erik Jarl Pickett
Let be a finite Galois extension of fields with abelian Galois group . A self-dual normal basis for is a normal basis with the additional property that $Tr_{F/E}(g(x…
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…
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 …