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We construct efficient authentication protocols and message authentication codes (MACs) whose security can be reduced to the learning parity with noise (LPN) problem. Despite a large body of work—starting with the $${\mathsf {HB}}$$ HB protocol of Hopper and Blum in 2001—until now it was not even known how to construct an efficient authentication protocol(More)
A key source of inefficiency in existing obfuscation schemes is that they operate on programs represented as Boolean circuits or (with stronger assumptions and costlier constructs) as Turing machines. We bring the complexity of obfuscation down to the level of RAM programs. That is, assuming injective one way functions and indistinguishability obfuscators(More)
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