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arXiv · 2305.09405

Unconditionally Secure Non-malleable Secret Sharing and Circular External Difference Families

Shannon Veitch·Douglas R. Stinson
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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.

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Shannon Veitch, Douglas R. Stinson. 2023-05-16. Unconditionally Secure Non-malleable Secret Sharing and Circular External Difference Families. https://arxiv.org/abs/2305.09405

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