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The Journal of Information and Optimization Sciences (JIOS) is a world leading journal publishing high quality, rigorously peer-reviewed original research in all mathematically-oriented theoretical and applied topics in information sciences, optimization sciences and related areas since 1980. Subjects include but are not limited to:
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Revisiting BIBDs : 3-frameproof and 2-traceable properties for large block sizes
*Anu KathuriaCorresponding authoranu_sept24@rediffmail.comDepartment of Applied Sciences and Humanities The Technological Institute of Textile & SciencesDepartment of Mathematics The Technological Institute of Textile and SciencesBhiwani, Haryana, 127021, IndiaView full profile →
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Stinson and Wei [6] have extensively studied the construction of c-frame proof codes using Balanced Incomplete Block Designs (BIBDs), offering a powerful Combinatorial Approach to Digital Fingerprinting and Traitor Tracing. Their work identifies specific combinatorial properties of BIBDs that ensure frameproof properties of BIBDs, thereby preventing coalitions of users from framing innocent parties. In this study, we revisit these constructions and reinterpret the conditions outlined by Stinson and Wei within the framework of traceable codes-specifically, 2-traceable codes and 3-frameproof codes for the higher values of k i.e. block size in case of (v, b, r, k, λ)-BIBD.
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