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- W2038626445 abstract "We construct two public key cryptosystems based on the multiplicative learning with errors (MLWE) problem. The cryptosystem 1 (resp. 2) are semantically secure assuming the worst-case hardness of the decisional composite residuosity problem and the search (resp. decisional) LWE problem, which implies approximating the shortest vector problem in a lattice to small polynomial factors. Namely, our cryptosystems are secure as long as one of them is hard. Moreover, the cryptosystem 1 can be adapted to the chosen ciphertext secure cryptosystem. In addition, the cryptosystem 2 has the additively homomorphic property." @default.
- W2038626445 created "2016-06-24" @default.
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- W2038626445 date "2010-01-01" @default.
- W2038626445 modified "2023-09-27" @default.
- W2038626445 title "Public Key Cryptosystems from the Multiplicative Learning with Errors" @default.
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- W2038626445 doi "https://doi.org/10.1109/mines.2010.102" @default.
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