Two Classes of 1-Resilient Semi-Bent Functions Based on Disjoint Linear Codes

Semi-bent functions are Boolean functions with almost optimal nonlinearity, and the number of input variables can be either even or odd. Semi-bent functions are widely used in the design of symmetric cryptographic systems and CDMA communication systems. In this paper, we provide two classes of construction methods to obtain semi-bent functions. Different from previous method usually used, our constructions are based on the disjoint linear codes. And it is proved that the constructed semi-bent functions can be 1-resilient.