Combinatorial design theory for the development of threshold secret sharing schemes in cloud-based environments
*Nisha WankhadeCorresponding authornisha.wankhade@gmail.comDepartment of Information TechnologyYeshwantrao Chavan College of EngineeringNagpur, Maharashtra, 441110, IndiaView full profile → , Amit Gauravcoe@niu.edu.inSchool of Engineering & TechnologyNoida International UniversityGreater Noida, Uttar Pradesh, 203201, IndiaView full profile → , S. Srinivas Reddys.srinivasareddy@vardhaman.orgDepartment of Computer Science and EngineeringVardhaman College of EngineeringShamshabad, Hyderabad, Telangana, 501218, IndiaView full profile → , Neeraj Varshneyneeraj.varshney@gla.ac.inDepartment of Computer Engineering & ApplicationsGLA UniversityMathura, Uttar Pradesh, 281406, IndiaView full profile → , Mirzohid Ernazarovmirzohid_ernazarov@tues.uzDepartment of Information Technology and Exact SciencesTermez University of Economics and ServiceTermez, 190111, Uzbekistan0009-0003-6418-0653View full profile → , Bekzod. Madaminovmadaminov_bekzod@mamunedu.uzDepartment of General Professional SciencesMamun UniversityKhiva, UzbekistanView full profile → , Payal Sunil Lahanepayal.lahane@vit.eduDepartment of Artificial Intelligence & Data scienceVishwakarma Institute of TechnologyBibwewadi, Pune, Maharashtra, 411037, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2026
- Published Online:
- 31 Oct 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-3039
- Pages:
- 4145–4155
Abstract
Cloud-based data management systems should have strong data handling mechanisms that discourage unauthorized access and provide effective data recovery. The issue that the present paper will address is to construct efficient threshold secret sharing schemes on the basis of the combinatorial design theory. This is aimed at developing a mathematically-based structure using Balanced Incomplete Block Designs (BIBD) and Finite Field-based polynomial interpolation to enhance security and scalability. The proposed model encodes secrets in combinatorial structures and this enables them to be shared with subjects in controlled manner and only authorized subsets having the power to recreate the secret. The use of algorithms is focused on the effective encoding algorithms and the reconstruction algorithms that have a reduced computational load. Experiments have demonstrated resistance to collusion attack and 21.6 percent more reconstruction than traditional schemes.
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References
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