Abstract:Constructing multilinear maps has been long-standing open problem, before recently the first construction based on ideal lattices has been proposed by Garg et al. After this breakthrough, various new cryptographic systems have been proposed. They introduce the concept of level into the encodings, and the system has a function that extracts a deterministic value at only a specific level, and the encodings are unable to downgrade to the lower levels. These properties are useful for cryptography. We study how thi… Show more
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