Power integral bases in prime-power cyclotomic fields

Power Integral Bases in the Family of Simplest Quartic Fields

Power Integral Bases in Orders of Composite Fields

Power integral bases in sextic fields with a cubic subfield

In the present paper we give an algorithm to compute generators of power integral bases having ”small” coordinates in an integral basis in sextic fields containing a cubic subfield. As an application of the method, we give a sufficient condition for infinite parametric families of number fields of this type to have power integral basis. To illustrate the statement we construct parametric famili...

On Power Bases in Number Fields

We survey the problem of existence and computation of power bases in number fields.

Aspects of mutually unbiased bases in odd prime power dimensions

In a complex vector space of dimension N , by a full set of mutually unbiased bases (MUB’s) we mean a set of N+1 orthonormal bases such that the modulus square of the scalar product of any member of one basis with any member of any other basis is equal to 1/N . If we take e to denote the k vector in the α orthonormal basis, then having a full set of MUB’s amounts to having a collection e ; α = ...