This paper presents a construction for a class of 1-resilient functions with optimal algebraic immunity on an even number of variables.The construction is based on the concatenation of two balanced functions in associative classes.For some n,a part of 1-resilient functions with maximum algebraic immunity constructed in the paper can achieve almost optimal nonlinearity.Apart from their high nonlinearity,the functions reach Siegenthaler’s upper bound of algebraic degree.Also a class of 1-resilient functions on any number n > 2 of variables with at least sub-optimal algebraic immunity is provided. This paper presents a construction for a class of 1-resilient functions with optimal algebraic immunity on an even number of variables. The construction is based on the concatenation of two balanced functions in associative classes. For some n, a part of 1-resilient functions with maximum algebraic immunity constructed in the paper can achieve almost optimal nonlinearity. Apart from their high nonlinearity, the functions reach Siegenthaler’s upper bound of algebraic degree. Als a class of 1-resilient functions on any number n> 2 of variables with at least sub -optimal algebraic immunity is provided.