###### Abstract  
The development of information security mechanisms follows a cyclic refinement model: new cryptographic solutions are proposed, their limitations are studied, and improvements are introduced to overcome those limitations. This paper contributes to this process by proposing a blind signature scheme with tunable anonymity, adapted to application-specific requirements. The core of the model is a parameter \(T\) that allows the user to balance confidentiality with transparency from the settings and adapt the signature behavior to the particular requirements of a beneficiary. Compared to the models currently used in blind signature protocols, this approach offers improved resistance to brute force attacks and improves security against adaptive and man-in-the-middle threats. Due to the reduced computational power requirements needed to calculate cryptographic primitives, it is usable for devices with power constraints. Being able to be integrated into a blockchain infrastructure, the process supports both persistent and verifiable data records, which gives it flexibility to adapt to different types of decentralized platforms.  
blind signature; IoT systems; blockchain 2025157100 applied sciences 23 May 20251571  
both anonymity and efficiency, where the latter parameter is defined for each subclass of problems.  
In some cases, absolute anonymity in IoT applications exposes systems to vulnerabilities, because it makes the surveillance and enforcement of security measures difficult. Existing methods are general and sometimes inefficient and incompatible with certain particular requirements when applied to systems based on vector subspaces or other mathematical structures. For this spectrum of cases, the \"moderated blind signature\" is addressed, which offers a possible solution in this sense to those described. The process adapts anonymity and confidentiality to the requirements of the application, thus offering a greater degree of flexibility compared to conventional methods. This mechanism allows users to benefit from the advantages of anonymity, while maintaining a model of malicious user detection and security. This article presents a new approach based on blind signatures, that is mitigated, which offers efficient security solutions, adapted to different situations, while addressing the challenges identified previously.  
Specifically, the objectives pursued are the following:  
* Description of the current state of knowledge with the existing limitations for certain particular cases of subclasses of problems defined from current practice.
* Introduction and formalization of the concept of \"temperate blind signature\" in cryptography, highlighting how it allows a balance between anonymity and accountability.
* Development of a new cryptographic scheme that is optimized for use in particular subspaces, such as vector subspaces, and that meets the needs of IoT applications.
* The rigorous evaluation of the performance and security of the proposed scheme, both theoretically and practically, demonstrating its functionality and effectiveness.  
This article presents a technique that can open a series of developments of personalized cryptographic solutions with adaptable efficiency parameters for various cases, thus addressing the specific challenges related to the security of information transferred in those systems.