https://hal.inria.fr/inria-00607752Cesmelioglu, AycaAycaCesmeliogluSabanc University, MDBF - Sabanc, University, MDBFMeidl, WilfriedWilfriedMeidlSabanc University, MDBF - Sabanc, University, MDBFA construction of bent functions from plateaued functionsHAL CCSD2011Bent functionsweakly regular bentnon-weakly regular bentplateaued functionsquadratic functionsplateaued functions.[INFO.INFO-CR] Computer Science [cs]/Cryptography and Security [cs.CR][INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM][INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT][MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT]Saadi, Assia2011-07-11 10:53:162017-11-29 10:27:362011-07-11 10:55:20enConference papersapplication/pdf1In this presentation a technique for constructing bent func- tions from plateaued functions is introduced. This generalizes earlier techniques for constructing bent from near-bent functions. Analysing the Fourier spectrum of quadratic functions we then can construct weakly regular as well as non-weakly regular bent functions both in even and odd dimension. This type of functions yield the rst known in nite classes of non-weakly regular bent functions. Weakly regular bent functions with certain additional properties can be used to construct partial di erence sets and strongly regular graphs. We show how to obtain appropriate bent functions using our construction.