At ITCS 2010, Dziembowski, Pietrzak, and Wichs introduced Non-malleable Codes (NMCs) which protect against tampering of a codeword of a given message into the codeword of a related message. A well-studied model of tampering is the 2-split-state model where the codeword consists of two independently tamperable states. As with standard error-correcting codes, it is of great importance to build codes with high rates.<\/p>\n
Following a long line of work, Aggarwal and Obremski (FOCS 2020) showed the first constant rate non-malleable code in the 2\u2212split state model; however, this constant was a minuscule 10\u22126<\/sup>! In this work, we build a Non-malleable Code with rate 1\/3. This nearly matches the rate 1\/2 lower bound for this model due to Cheraghchi and Guruswami (ITCS 2014). Our construction is simple, requiring just an inner-product extractor, a seeded extractor, and an affine-evasive function.<\/p>\n","protected":false},"excerpt":{"rendered":" At ITCS 2010, Dziembowski, Pietrzak, and Wichs introduced Non-malleable Codes (NMCs) which protect against tampering of a codeword of a given message into the codeword of a related message. A well-studied model of tampering is the 2-split-state model where the codeword consists of two independently tamperable states. As with standard error-correcting codes, it is of 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