Web: http://arxiv.org/abs/2211.16128

Nov. 30, 2022, 2:10 a.m. | Samuel Dobson, Steven Galbraith, Benjamin Smith (GRACE)

cs.CR updates on arXiv.org arxiv.org

Groups of unknown order are of major interest due to their applications
including time-lock puzzles, verifiable delay functions, and accumulators. In
this paper we focus on trustless setup: in this setting, the most popular
unknown-order group construction is ideal class groups of imaginary quadratic
fields.We argue that the full impact of Sutherland's generic group-order
algorithm has not been recognised in this context, and show that group sizes
currently being proposed in practice (namely, approximately 830 bits) do not
meet the …


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