Name
Abstract | ||
|---|---|---|
Following an example in [12], we show how to change one coordinate function of an almost perfect nonlinear (APN) function in order to obtain new examples. It turns out that this is a very powerful method to construct new APN functions. In particular, we show that our approach can be used to construct a "non-quadratic" APN function. This new example is in remarkable contrast to all recently constructed functions which have all been quadratic. An equivalent function has been found independently by Brinkmann and Leander [8]. However, they claimed that their function is CCZ equivalent to a quadratic one. In this paper we give several reasons why this new function is not equivalent to a quadratic one. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.3934/amc.2009.3.59 | ADVANCES IN MATHEMATICS OF COMMUNICATIONS |
Keywords | DocType | Volume |
Almost perfect nonlinear,equivalence of functions,Walsh spectrum,almost bent | Journal | 3 |
Issue | ISSN | Citations |
1 | 1930-5346 | 55 |
PageRank | References | Authors |
2.55 | 19 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yves Edel | 1 | 141 | 17.61 |
| Alexander Pott | 2 | 124 | 9.11 |