Titlebook: Advances in Cryptology – CRYPTO 2013; 33rd Annual Cryptolo Ran Canetti,Juan A. Garay Conference proceedings 2013 International Association

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978-3-642-40040-7International Association for Cryptologic Research 2013 2013

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Ran Canetti,Juan A. GarayUp-to-date results.Fast-track conference proceedings.State-of-the-art research

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Priapism

Eastern Boundary Current Systemsul enough to evaluate its own decryption function. To date, it remains the only known way of obtaining unbounded FHE. Unfortunately, bootstrapping is computationally very expensive, despite the great deal of effort that has been spent on improving its efficiency. The current state of the art, due to

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Mohamad Hafiz Mamat,Mohamad Rusop and are provably as hard as approximate lattice problems in the worst case. An important question from both a practical and theoretical perspective is how small their parameters can be made, while preserving their hardness..We prove two main results on SIS and LWE with small parameters. For SIS, we

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https://doi.org/10.1007/1-4020-3958-1ay’s most efficient lattice schemes. The novel scheme is obtained as a result of a modification of the rejection sampling algorithm that is at the heart of Lyubashevsky’s signature scheme (Eurocrypt, 2012) and several other lattice primitives. Our new rejection sampling algorithm which samples from

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https://doi.org/10.1007/1-4020-3958-1e one replaces random errors with deterministic rounding. The LWR problem was shown to be as hard as LWE for a setting of parameters where the modulus and modulus-to-error ratio are super-polynomial. In this work we resolve the main open problem and give a new reduction that works for a larger range

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