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In 2003, Augot et al. introduced the Fast Syndrome-Based hash family (in short FSB), which follows the generic construction of Merkle-Damgard and is based on the syndrome decoding problem. In 2007, Finiasz et al. proposed an improved version of FSB. In this paper, the authors propose a new efficient hash function, which incorporates the ideas of FSB and the sponge construction introduced by Bertoni et al. Their proposal is up to 30 % faster in practice than FSB. Its security is related on the Regular Syndrome (RSD) Decoding problem, which is proven NP-complete.
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