EN|RU Volume 19, No 1, 2012, P. 41-58 UDC 519.7 N. A. Kolomeec Enumeration of bent functions on the minimal distance from the quadratic bent function Abstract: Constructing bent functions on the minimal distance from the quadratic bent function is studied. All such bent functions in $2k$ variables are obtained and it is shown that the number of them is equal to $2^k(2^1+1)\dots(2^k+1)$. A lower bound of the number of bent functions on the minimal distance from a Maiorana–McFarland bent function is given. Tab. 1, bibliogr. 9. Keywords: bent function, the minimal distance, quadratic bent function. Kolomeec Nikolay Alexandrovich 1 1. S. L. Sobolev Institute of Mathematics, SB RAS, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia e-mail: nkolomeec@gmail.com © Sobolev Institute of Mathematics, 2015