[PDF] Top 20 Expander Graphs are Non-Malleable Codes

... be non-malleable if, intuitively, the message obtained as dec(g(L), h(R)) is “unrelated” to the original mes- sage ...state non-malleable codes have been the subject of intense study ... See full document

... a non-malleable coding scheme for messages of length n that is robust to F := F 0,1 ◦ S N , and let t(n) denote the length of the codewords for some fixed polynomial ... See full document

... correcting codes, though powerful, are only applica- ble in scenarios where the adversarial channel does not introduce “too many” errors into the ...well-motivated. Non-malleable codes, ... See full document

... (AMD) codes, which is a special case of non-malleable codes against tamper- ing functions with a simple algebraic structure; explicit AMD codes with op- timal (second order) parameters ... See full document

... In our RAM model, the data and program to be executed are stored in the random access memory. Through a CPU with a small number of (non-persistent) registers 1 , execution proceeds in clock cycles: In each ... See full document

... The performance of EC code with a particular generator graph is difficult to analyze. Instead, we analyze the per- formance of an EC code with a random d-regular graph as the generator. There are various probability ... See full document

... of non-malleable codes is in tamper-resilient cryptography [DPW18], where they can be used generally to prevent an adversary from learning secret information by observing the input/output behavior of ... See full document

... from non-malleable codes, specifically those with the so-called “augmented” security which we explain ...the non-malleable ...of non-malleable codes we can also use ... See full document

... of non-malleable codes that provide a useful message integrity for such ...a non-malleable code ensures that the tampered codeword encodes the original message or a message that is ... See full document

... Non-malleable codes (NMCs) are a natural relaxation of the notions of error correcting codes and error detecting codes, which tolerates more attacks by relaxing the security ... See full document

... Security against adversarial channels. In Wiretap Channels [9, 39, 45] the goal is to communicate data privately against eavesdroppers, under the assump- tion that the channel between the sender and the adversary is ... See full document

... of non-malleable codes (NMCs), put forward by Dziembowski, Pietrzak, and Wichs ...a non-malleable encoding (Encode, Decode) allows to encode a value M into a code- word C ← Encode(M), ... See full document

... constructing non-malleable codes for encoding one and multi-bits against various tampering classes F for which average case hardness results are ... See full document

... Quantum self-organization on the spherical horizon locks at 24-vertex snub cubical packing, however information complexity inexorably continues to com- pound under Nature’s epistemic drive [1]. The 24-vertex code ... See full document

... detection(AMD) codes, and, error correcting or detecting codes in ...call non-malleable secret ...on non-malleable codes in the split-state model led to constructions ... See full document

... allowed to (dependently) tamper all 5 memory parts as a function of any (5 − 1) = 4 memory parts. (More generally, F OR t can use any (t − 1) parts.) In turn, this reduction is composed of several sub-reductions, some of ... See full document

... [10] non-malleable schemes from chosen-plaintext secure ones, and Lin and Tessaro [37] show how the security of weakly chosen-ciphertext secure schemes can be ... See full document

... Our Approach: Adding Errors for Non-Malleability. We introduce a novel approach to boot-strapping non-malleability. We first motivate our approach using a loose analogy. Consider a student plagiarising a ... See full document

... the codes of [30,28], but unfortunately these constructions rely on both trusted setup and strong computational as- ...such codes require: (i) a “common reference string”, ...of non-interactive zero- ... See full document

... Non-malleable codes were introduced by Dziembowski, Pietrzak and Wichs ...is non-malleable ...is non-malleable ... See full document