2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 167-170
| author: | Gohar Kyureghyan |
|---|---|
| title: | Crooked Maps in Finite Fields |
| keywords: | almost perfect maps, Gold power function, quadrics |
| abstract: |
We consider the maps
f:
with the property that the set
2
→
n
2
n
{ f(x+a)+ f(x): x ∈F
is a hyperplane or a complement of hyperplane for
every
2
}
n
a ∈
. The main goal of the talk is to show that almost
all maps
2
n
*
f(x) = Σ
, where
b ∈B
c
b
(x+b)
d
B ⊂
and
2
n
Σ
, are not of that type. In particular, the only such
power maps have exponents
b ∈B
c
b
≠0
2
with gcd
i
+2
j
(n, i-j)=1
. We give also a geometrical characterization of this
maps.
|
| If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |
| reference: | Gohar Kyureghyan (2005), Crooked Maps in Finite Fields, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 167-170 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dmAE0133.ps.gz (64 K) |
| ps-source: | dmAE0133.ps (153 K) |
| pdf-source: | dmAE0133.pdf (163 K) |
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.
Automatically produced on Di Sep 27 10:09:50 CEST 2005 by gustedt
