Share and Export
Share and Export
Bracken, Carl and Zha, Zhengbang (2009) On the Fourier Spectra of the Infinite Families of Quadratic APN Functions. Advances in Mathematics of Communications , 3 (3). pp. 219-226. ISSN 1930-5346
![[thumbnail of CB_Fourier_Spectra.pdf]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png "CB_Fourier_Spectra.pdf")
PDF
CB_Fourier_Spectra.pdf
Download (123kB)
Abstract
It is well known that a quadratic function defined on a finite field of odd degree is almost bent (AB) if and only if it is almost perfect nonlinear (APN). For the even degree case there is no apparent relationship between the values in the Fourier spectrum of a function and the APN property. In this article we compute the Fourier spectrum of the new quadranomial family of APN functions. With this result, all known infinite families of APN functions now have their Fourier spectra and hence their nonlinearities computed.
| Item Type: | Article |
|---|---|
| Keywords: | Fourier spectrum; APN function; nonlinearity; Infinite Families; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2695 |
| Identification Number: | 10.3934/amc.2009.3.219 |
| Depositing User: | IR Editor |
| Date Deposited: | 06 Sep 2011 14:44 |
| Journal or Publication Title: | Advances in Mathematics of Communications |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2695 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Repository Staff Only (login required)
- Item control page
Downloads
Downloads per month over past year
