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• W2942185553 abstract "We present here a new family of trapdoor one-way Preimage Sampleable Functions (PSF) based on codes, the Wave-PSF family. The trapdoor function is one-way under two computational assumptions: the hardness of generic decoding for high weights and the indistinguishability of generalized $(U,U+V)$-codes. Our proof follows the GPV strategy [GPV08]. By including rejection sampling, we ensure the proper distribution for the trapdoor inverse output. The domain sampling property of our family is ensured by using and proving a variant of the left-over hash lemma. We instantiate the new Wave-PSF family with ternary generalized $(U,U+V)$-codes to design a hash-and-sign signature scheme which achieves existential unforgeability under adaptive chosen message attacks (EUF-CMA) in the random oracle model. For 128 bits of classical security, signature sizes are in the order of 15 thousand bits, the public key size in the order of 4 megabytes, and the rejection rate is limited to one rejection every 10 to 12 signatures." @default.
• W2942185553 created "2019-05-03" @default.
• W2942185553 creator A5037132841 @default.
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• W2942185553 date "2018-10-16" @default.
• W2942185553 modified "2023-09-25" @default.
• W2942185553 title "Wave: A New Family of Trapdoor One-Way Preimage Sampleable Functions Based on Codes" @default.
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• W2942185553 hasPublicationYear "2018" @default.
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