Nonlinearity, Local and Global Avalanche Characteristics of Balanced Boolean Functions

Details Nonlinearity, Local and Global Avalanche Characteristics of Balanced Boolean Functions Nonlinearity, Local and Global Avalanche Characteristics of Balanced Boolean Functions

2000-10-24

arxiv.org/abs/math/0010220v1

Mathematics

Combinatorics

21 pages; submitted to Discrete Mathematics

Scientific paper

First, we construct a class of functions with good local avalanche characteristics, but bad global avalanche characteristics. We also derive some bounds for the nonlinearity of such functions. It improves upon the results of Son et al., and Sung et al. In our second result we construct a class of highly nonlinear balanced functions with good local and global avalanche characteristics.

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