In recent years, coverless information hiding technology, known for its strong resistance to analysis and detection, has developed rapidly. It mainly consists of two types of methods: construction generation and search mapping. Besides the common problem of small hiding capacity, the search mapping method also has prominent issues such as the difficulty in mapping complete code tables and the reliance on large-scale image libraries. Therefore, this paper proposes a high-capacity matrix mapping coverless information hiding method. This method extracts the ring statistical features of the image for encoding to construct a feature matrix, and constructs the secret information as a secret information matrix. According to the matrix mapping rules, a mapping matrix representing the relationship between the feature matrix and the secret information matrix is obtained. The receiver receives the mapping matrix and the carrier image, and uses the matrix mapping rules and the image ring statistical feature encoding to restore the secret information. Experimental results show that this method can achieve larger capacity information hiding without designing complex mapping rules or relying on large-scale image libraries, and it has more advantages in robustness against geometric attacks.