With the widespread adoption of digital signature,a variety of specialized digital signature methods have been developed. However, the need for authorization verification within hierarchical group structures has not garnered sufficient attention. This research has addressed this issue. Initially, the problem was delineated and formally articulated; subsequently, encryption and decryption algorithms that incorporate authorization sharing were designed, along with a description of the code; finally, the methods were validated through experimentation. The outcomes demonstrate that the proposed approach is reliable and stable, capable of effectively accommodating the authorization verification of signed messages within multi-tiered, large-scale group communications. This addresses the shortfall of current digital signature technologies, which struggle to authorize multiple verifiers within hierarchical group structures, by supplementing and refining a method for the authorization verification of signed messages among users in multi-level groups.