Z/sub 4/-version of the binary Maiorana-McFarland bent functions
J. Wolfmann · 2002
We introduce a one-to-one connection between a family M/sub 4/ of functions defined over the Galois ring R=GR(4,m) of cardinality 4/sup m/ and the binary Maiorana-McFarland family of bent functions. This gives rise to difference sets in the additive group of R=GR(4,m). On the other hand, we show that, if D is one of these new quaternary difference sets and if /spl Phi/ is the Gray map of R into F/sub 2//sup 2m/, then /spl Phi/(D) is a difference set of (F/sub 2//sup 2m/,+).