Bracken, Carl, Byrne, Eimear, Markin, Nadya and McGuire, Gary (2008) A Few More Quadratic APN Functions. Working Paper. Submitted to Cryptography and Communications, Springer Verlag, to appear. (Unpublished)
Available under License Creative Commons Attribution Non-commercial Share Alike.
Download (128kB)
Abstract
We present two infinite families of APN functions on GF(2n) where n
is divisible by 3 but not 9. Our families contain two already known
families as special cases. We also discuss the inequivalence proof (by
computation) which shows that these functions are new.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Additional Information: | Research supported by Irish Research Council for Science, Engineering and Technology Postdoctoral Fellowship and Science Foundation Ireland Grant 06/MI/006 |
| Keywords: | Quadratic APN Functions; infinite families; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2636 |
| Depositing User: | Library Editor |
| Date Deposited: | 12 Aug 2011 15:54 |
| Journal or Publication Title: | Cryptography and Communications |
| Publisher: | Submitted to Cryptography and Communications, Springer Verlag, to appear |
| Related URLs: | |
| 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 |
Downloads
Downloads per month over past year
Share and Export
Share and Export