Name
Abstract | ||
|---|---|---|
Dobbertin has embedded the problem of construction of bent functions in a recursive framework by using a generalization of bent functions called $${\mathbb{Z}}$$ -bent functions. Following his ideas, we generalize the construction of partial spreads bent functions to partial spreads $${\mathbb{Z}}$$ -bent functions of arbitrary level. Furthermore, we show how these partial spreads $${\mathbb{Z}}$$ -bent functions give rise to a new construction of (classical) bent functions. Further, we construct a bent function on 8 variables which is inequivalent to all Maiorana---McFarland as well as PS ap type bents. It is also shown that all bent functions on 6 variables, up to equivalence, can be obtained by our construction. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s10623-012-9687-1 | Designs, Codes and Cryptography |
Keywords | Field | DocType |
bent function,arbitrary level,partial spread,recursive framework,PS ap type bent,new construction | Boolean function,Discrete mathematics,Combinatorics,Bent molecular geometry,Bent function,Fourier transform,Equivalence (measure theory),Recursion,Mathematics | Journal |
Volume | Issue | ISSN |
66 | 1-3 | 0925-1022 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sugata Gangopadhyay | 1 | 141 | 22.99 |
| Anand Joshi | 2 | 235 | 23.06 |
| Gregor Leander | 3 | 1287 | 77.03 |
| Rajendra Kumar Sharma | 4 | 35 | 9.62 |