Unconditionally Secure Non-malleable Secret Sharing and Circular External Difference Families
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Publication:6436808
DOI10.1007/S10623-023-01322-5arXiv2305.09405OpenAlexW4388733982MaRDI QIDQ6436808
Shannon Veitch, Douglas R. Stinson
Publication date: 16 May 2023
Abstract: Various notions of non-malleable secret sharing schemes have been considered. In this paper, we review the existing work on non-malleable secret sharing and suggest a novel game-based definition. We provide a new construction of an unconditionally secure non-malleable threshold scheme with respect to a specified relation. To do so, we introduce a new type of algebraic manipulation detection (AMD) code and construct examples of new variations of external difference families, which are of independent combinatorial interest.
Full work available at URL: https://doi.org/10.1007/s10623-023-01322-5
Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Authentication, digital signatures and secret sharing (94A62)
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