@article {IOPORT.05524444, author = {Jiang, Hua and Qi, Wenfeng}, title = {Highly nonlinear vector resilient functions.}, year = {2007}, journal = {Journal of Wuhan University. Natural Sciences Edition}, volume = {53}, number = {5}, issn = {1671-8836}, pages = {523-526}, publisher = {Wuhan University Journals Press, Wuhan}, abstract = {Summary: By connecting a small resilient functions with a vector Boolean functions with very high nonlinearity, this paper shows that there exists a $(n, m, t)$ resilient function whose nonlinearity is $2^{n-1}-2^{n-l/2-1}+2^{l/2}\cdot nl\max(n-l, m, t)$. Therefore, we improve Kurosawa's nonlinearity $2^{n-1}-2^{n-l/2-1}$ under the same conditions. Particularly, we construct two concrete resilient functions using the same method, and obtain two different nonlinearities. At most of the cases, the nonlinearity of the constructed resilient function is the best compared with previous construction methods.}, identifier = {05524444}, }