1 Department of Applied Mathematics and Computer Science, Technical University of Denmark2 Indian Statistical Institute3 Indian Institute of Technology4 Indian Statistical Institute
Dobbertin has embedded the problem of construction of bent functions in a recursive framework by using a generalization of bent functions called -bent functions. Following his ideas, we generalize the construction of partial spreads bent functions to partial spreads -bent functions of arbitrary level. Furthermore, we show how these partial spreads -bent functions give rise to a new construction of (classical) bent functions. Further, we construct a bent function on 8 variables which is inequivalent to all Maiorana-McFarland as well as PS ap type bents. It is also shown that all bent functions on 6 variables, up to equivalence, can be obtained by our construction.
Designs, Codes and Cryptography, 2013, Vol 66, Issue 1-3, p. 243-256