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The absolute and sum-of-squares in-dicators are used to evaluate the Global avalanche characteristics (GAC) of Boolean functions in a global manner.The GAC properties of a class of highly nonlinear 1-resilient Boolean functions are given.We derive new upper bounds of the absolute and sum-of-squares indicators for a class of 1-resilient Boolean functions with high nonlinearity.Compared to the known 1-resilient Boolean functions,the constructed functions possess higher nonlinearity and better GAC properties.