2.00 pm, Seminar Hall Average-Case Fine-Grained Hardness, and what to do with it Prashant Nalini Vasudevan Univ. of California Berkeley. 10-04-19 Abstract We present functions that are hard to compute on average for algorithms running in some fixed polynomial time, assuming widely-conjectured worst-case hardness of certain problems from the study of fine-grained complexity. We discuss the relevance of such average-case hardness to cryptography and present, as an illustration, an outline of a proof-of-work protocol constructed based on the hardness and certain structural properties of our functions. Joint work with Marshall Ball, Alon Rosen and Manuel Sabin.
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