Welcome to the resource topic for 2004/274
A NOVEL ALGORITHM ENUMERATING BENT FUNCTIONS
Authors: Meng Qing-shu, Yang min, Zhang huan-guo, Cui jing-songAbstract:
By the relationship between the Walsh spectra at partial points
and the Walsh spectra of its sub-functions, by the action of
general linear group on the set of Boolean functions, and by the
Reed-Muller transform, a novel method is developed, which can
theoretically construct all bent functions. With this method, we
enumerate all bent functions in 6 variables; in 8-variable case,
our method is more efficient than the method presented by Clark
though we still can not enumerate all bent functions; enumeration
of all homogeneous bent functions of degree 3 in eight variables
can be done in one minute by a P4 1.7G HZ computer; construction
of homogenous bent function of degree 3 in 10 variables is
efficient too; the nonexistence of homogeneous bent
functions in 10 variables of degree 4 is proved
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .