Boolean functions play critical roles in modern cryptography.Over the past decades,Boolean functions satisfying significant cryptographic properties(such as high nonlinearity and high algebraic immunity)have been studied[1,2].Semi-bent Boolean functions are a class of Boolean functions with low Walsh-Hadamard transform Boolean functions play critical roles in modern cryptography. Over the past decades, Boolean functions satisfying significant cryptographic properties (such as high nonlinearity and high algebraic immunity) have been studied [1,2] .Semi-bent Boolean functions are a class of Boolean functions with low Walsh-Hadamard transform