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- W2155115217 abstract "We describe highly efficient constructions, XE and XEX, that turn a blockcipher $E: mathcal{K} times {0, 1 }^{n} rightarrow {0, 1 }^{n}$ into a tweakable blockcipher ${E}: mathcal{K} times mathcal{T} times {0, 1 }^{n} rightarrow {0, 1 }^{n}$ having tweak space $mathcal{T} = {0, 1 }^{n} times mathbb{I}$ where $mathbb{I}$ is a set of tuples of integers such as $mathbb{I} = [..2^{n/2}] times [0..10]$ . When tweak T is obtained from tweak S by incrementing one if its numerical components, the cost to compute ${E}^{T}_{K}(M)$ having already computed some ${E}^{S}_{K}(M')$ is one blockcipher call plus a small and constant number of elementary machine operations. Our constructions work by associating to the i th coordinate of $mathbb{I}$ an element $alpha_{i} epsilon mathbb{F}^{*}_{2}n$ and multiplying by α i when one increments that component of the tweak. We illustrate the use of this approach by refining the authenticated-encryption scheme OCB and the message authentication code PMAC, yielding variants of these algorithms that are simpler and faster than the original schemes, and yet have simpler proofs. Our results bolster the thesis of Liskov, Rivest, and Wagner [10] that a desirable approach for designing modes of operation is to start from a tweakable blockcipher. We elaborate on their idea, suggesting the kind of tweak space, usage-discipline, and blockcipher-based instantiations that give rise to simple and efficient modes." @default.
- W2155115217 created "2016-06-24" @default.
- W2155115217 creator A5007040282 @default.
- W2155115217 date "2004-01-01" @default.
- W2155115217 modified "2023-10-09" @default.
- W2155115217 title "Efficient Instantiations of Tweakable Blockciphers and Refinements to Modes OCB and PMAC" @default.
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- W2155115217 doi "https://doi.org/10.1007/978-3-540-30539-2_2" @default.
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