Boolean functions and vectorial are the most important nonlinear components of stream ciphers. They should satisfy several criteria such as high nonlinearity, proper resiliency so on to guarantee security whole system. However, there some constraints among criteria, how achieve a trade-off between them is an issue. In this paper, possessing simple algebraic normal form with special Walsh spectr...

We study the cryptographic complexity of two-party differentially-private protocols for a large natural class of boolean functionalities. Information theoretically, McGregor et al. [FOCS 2010] and Goyal et al. [Crypto 2013] demonstrated several functionalities for which the maximal possible accuracy in the distributed setting is significantly lower than that in the client-server setting. Goyal ...