Name
Abstract | ||
|---|---|---|
Semi-bent functions have important applications in cryptography and coding theory. 2-rotation symmetric semi-bent functions are a class of semi-bent functions with the simplicity for efficient computation because of their invariance under 2-cyclic shift. However, no construction of 2-rotation symmetric semi-bent functions with algebraic degree bigger than 2 has been presented in the literature. In this paper, we introduce four classes of 2 m-variable 2-rotation symmetric semi-bent functions including balanced ones. Two classes of 2-rotation symmetric semi-bent functions have algebraic degree from 3 to m for odd m >= 3, and the other two classes have algebraic degree from 3 to m/2 for even m >= 6 with m/2 being odd. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1587/transfun.E102.A.1497 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
Boolean functions, 2-rotation symmetric, semi-bent functions, algebraic degree | Discrete mathematics,Bent molecular geometry,Pure mathematics,Mathematics | Journal |
Volume | Issue | ISSN |
E102A | 11 | 0916-8508 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qinglan Zhao | 1 | 37 | 7.23 |
| Dong Zheng | 2 | 335 | 43.37 |
| Baodong Qin | 3 | 190 | 19.40 |
| Rui Guo | 4 | 0 | 0.34 |