Name
Title | ||
|---|---|---|
Two Classes of Symmetric Boolean Functions With Optimum Algebraic Immunity: Construction and Analysis |
Abstract | ||
|---|---|---|
This paper discusses two classes of symmetric Boolean functions. For each class, a necessary and sufficient condition for having optimum algebraic immunity is proposed. The algebraic degree and nonlinearity of the Boolean functions are also completely determined. And then we prove several of Braeken's conjectures about the algebraic degree and nonlinearity of the Boolean functions with optimum algebraic immunity in the two classes. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/TIT.2011.2111810 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
sufficient condition,boolean function,algebraic degree,optimum algebraic immunity,symmetric boolean functions,symmetric boolean function,artificial intelligence,cryptography,boolean functions,stream cipher,computer science,resists,hamming weight,nonlinearity | Discrete mathematics,Dimension of an algebraic variety,Combinatorics,Function field of an algebraic variety,Symmetric Boolean function,Parity function,Algebraic function,Algebraic cycle,Real algebraic geometry,Boolean expression,Mathematics | Journal |
Volume | Issue | ISSN |
57 | 4 | 0018-9448 |
Citations | PageRank | References |
11 | 0.55 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yindong Chen | 1 | 15 | 8.07 |
| Peizhong Lu | 2 | 230 | 22.46 |