7 citations · 18 across the 11 of their papers we have counts for
14 papers
The groups satisfying a functional equation for some
Dominik Bernhardt, Tim Boykett, Alice Devillers +2
We study the groups with the curious property that there exists an element and a function such that holds for all . This propert…
Maximality of reversible gate sets
Tim Boykett
In order to better understand the structure of closed collections of reversible gates, we investigate the lattice of closed sets and the maximal members of this lattice. In this no…
Finite generating sets for reversible gate sets under general conservation laws
Tim Boykett, Jarkko Kari, Ville Salo
It is well-known that the Toffoli gate and the negation gate together yield a universal gate set, in the sense that every permutation of can be implemented as a composi…
Distribution and Generalized Center in Planar Nearrings
Tim Boykett
Planar nearrings play an important role in nearring theory, both from the structural side as being close to generalised nearfields, as well as from an applications perspective, in…
Strongly Universal Reversible Gate Sets
Tim Boykett, Jarkko Kari, Ville Salo
It is well-known that the Toffoli gate and the negation gate together yield a universal gate set, in the sense that every permutation of can be implemented as a composi…
The Multiplicative Automorphisms of a Finite Nearfield, with an Application
Tim Boykett, Karin-Therese Howell
In this paper we look at the automorphisms of the multiplicative group of finite nearfields. We find partial results for the actual automorphism groups. We find counting techniques…