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Unconditionally Secure Non-malleable Secret Sharing and Circular External Difference Families
May 16, 2023 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
Shannon Veitch, Douglas R. Stinson
arXiv ID
2305.09405
Category
cs.CR: Cryptography & Security
Cross-listed
math.CO
Citations
7
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
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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