2 citations · 4 across the 10 of their papers we have counts for
4 papers · 1 filter
New classes of reversible cellular automata
Jan Kristian Haugland, Tron Omland
A Boolean function on ~bits induces a shift-invariant vectorial Boolean function from bits to bits for every . If is bijective for every , we say…
On the max min of the algebraic degree and the nonlinearity of a Boolean function on an affine subspace
Jan Kristian Haugland
We investigate the max min of the algebraic degree and the nonlinearity of a Boolean function in variables when restricted to a -dimensional affine subspace of $\mathbb{F}_2…
A generalization of the hexastix arrangement to higher dimensions
Jan Kristian Haugland
Hexastix is an arrangement of non-overlapping infinite hexagonal prisms in four different directions that cover of space. We consider a possible generalization to …
Shift-invariant transformations and almost liftings
Jan Kristian Haugland, Tron Omland
We investigate shift-invariant transformations, also known as rotation-symmetric vectorial Boolean functions, on bits that are induced from Boolean functions on bits, for $…