Name
Abstract | ||
|---|---|---|
This work was motivated by the fact that in the binary domain there are exactly 4 symmetric bent functions for every even n. A first study in the ternary domain shows very different properties. There are exactly 36 ternary symmetric bent functions of 2 variables, at least 12 ternary symmetric bent functions of 3 variables and at least 36 ternary symmetric bent functions of 4 variables. Furthermore the concept of strong symmetric bent function is introduced. To generate ternary symmetric 2k-place bent functions the tensor sum of two k-place ternary symmetric and the Maiorana Method were analyzed and combined with a set of spectral invariant operations. For n = 3 ternary symmetric bent functions were studied on a class of bent functions in the Reed-Muller domain, and a special adaptation of the tensor sum method was used, obtaining 18 ternary strong symmetric bent functions. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1109/ISMVL49045.2020.00-26 | 2020 IEEE 50th International Symposium on Multiple-Valued Logic (ISMVL) |
Keywords | DocType | ISSN |
Ternary functions,Symmetric functions,Bent functions | Conference | 0195-623X |
ISBN | Citations | PageRank |
978-1-7281-5407-7 | 1 | 0.35 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Claudio Moraga | 1 | 612 | 100.27 |
| Milena Stankovic | 2 | 29 | 9.22 |
| Radomir S. Stankovic | 3 | 188 | 47.07 |