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Circular External Difference Families: Construction and Non-Existence
Published 16 Oct 2023 in math.CO, cs.IT, and math.IT | (2310.10200v3)
Abstract: The circular external difference family and its strong version, which themselves are of independent combinatorial interest, were proposed as variants of the difference family to construct new unconditionally secure non-malleable threshold schemes. In this paper, we present new results regarding the construction and non-existence of (strong) circular external difference families, thereby solving several open problems on this topic.
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