Forward Secret Encrypted RAM Definition Sample Clauses

Forward Secret Encrypted RAM Definition. We formally define the syntax and security game for Forward Secret encrypted RAM, which one can use to securely store and retrieve outsourced data from a remote server in a forward secret manner. Forward Secret encrypted RAM Syntax. The syntax allows a user to initialize, read, and write to the FS eRAM using a master key MK. Definition 6 (Forward Secret Encrypted RAM). A Forward Secret encrypted RAM scheme eram = (eram-init, eram-read, eram-write) consists of the following algorithms: – (M, MK) ← eram-init(1λ), which initializes the public RAM cells M and generates a master key MK. – (Mj, MKj, d) ← eram-read(M, MK, i), which returns data d of virtual cell i. – (Mj, MKj) ← eram-write(M, MK, d, i), which replaces the contents of virtual cell i with data d. ⊥ It can be the case that d = for deletion when eram-write(M, MK, d, i) is used. For simplicity, we will often use eram-read(M, MK, i) and eram-write(M, MK, d, i) in a manner that implicitly changes M and MK. ⊥ ⊥ Forward Secret encrypted RAM Efficiency Measures. We provide three measures of efficiency for forward secret encrypted RAMs. All three measures will be in terms of ncurr, the number of virtual cells which the user has written data other than to at a given point in time, and nmax, the maximum number of such cells at any point in the protocol execution. The first is worst case space complexity of MK, which we refer to as s1(ncurr, nmax). The second, s2(ncurr, nmax), is the worst case space complexity of M, i.e. the total number of cells in M that do not contain . The third, t(ncurr, nmax), is the worst case time complexity of eram-read and eram-write operations. We will often refer to these measures without writing them explicitly as functions of ncurr and nmax.
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