信息安全是保证信息在传输或存储过程中的可靠性、安全性的一门学科，由密码学与编码学两个分支组成. Bent函数作为具有最优非线性度的布尔函数是密码学中重要研究课题，广义Bent函数是Bent函数的自然推广.本项目的研究内容主要包括：首先，给出广义Bent函数新的等价刻画，研究其相关的密码学性质; 其次，给出几类性质优良的广义Bent函数的新构造; 最后利用性质优良的广义Bent函数与线性码之间的关系，借助定义集的方法构造新参数的非零权重少的线性码，并将其应用到信息安全中. 本项目旨在推动这些问题的深入研究.

Information security, consistied of cryptography and coding theory, is a subject that guarantees the reliability and security of information in the process of transmission or storage. Bent functions,as a Boolean function with optimal nonlinearity, is an important research topic in cryptography, and the generalized Bent function is a natural generation of Bent functions. The content of this project mainly includes: firstly,some new equivalent characterizations of the generalized Bent function, and the study of its cryptographic properties; Secondly,several new constructions of generalized Bent functions with good properties; At last, the constructions of new parameter linear codes with a few weights basing on the defining set from the connection between good generalized Bent functions and linear codes, and the applications of these codes in information security. This project aims to promote further study of the perspectives mentioned as above.