Extraction. The argument that R is nearly uniform given P is similar to the errorless case, except s has to be taken into account. For every s, the function Hi(c) = (σ, R) is universal, because for every c1, c2, there is at most one i such that Hi(c1) = Hi(c2) (because i(a1 − a2) is fixed, like in the errorless case). Because H˜ ∞(W | SS(W )) ≥ m − k, applying Lemma 1, we see that the distribution of (R, P ) = (R, (i, σ, s)) is 2(n′−v−(m−k))/2−1 = 2(n−v−m)/2−1 -close to (Un′−2v ×Un′−v ×U2v×SS(W )). Applying Lemma 3 to A = R, B = P , C = Un′−2v , D = Un′−v × U2v × SS(W ), we get that (n′−v−m)/2 (R, P ) is ε-close to Un′−2v × P , for ε = 2 .
Extraction. Final provisions
Extraction. For the avoidance of doubt, Zeneca's ---------- right to commercialize Shuffled Genes for [*******] for Agricultural Applications shall include the right to commercialize Zeneca Agricultural Products obtained by extraction. Any other extraction rights for Zeneca Agricultural Products shall be as agreed by the Research Committee.
Extraction. Using an appropriate chemical solution and cleaning equipment, carpet will be cleaned and left in a safe condition. (Extensive carpet cleaning will require a floor care request to be submitted)
Extraction. The Tenant will not take, sell or carry away any soil, mineral, gravel, turf, sand or clay. This includes any top-soil, compost, manure or any other materials provided and/or purchased for the benefit of the Tenants on the allotments.
Extraction. For purposes hereof, mineral extraction (“Extraction”) means mineral prospection works, as defined in Executive Order No. 227/69 (“Mining Code”), for the purpose of defining the volume and quality of gold, silver and byproducts contained in the soil and subsoil of the areas covered by the Mineral Rights.
Extraction. 6.1 A portion of the homogenized sample must be extracted in an organic solvent that is suitable for recovering cannabinoids.
6.2 The preparation method utilized must be the one specified in the ISO17025:2017 scope of accreditation for cannabinoid analysis.
6.3 A hemp Certified Reference Material (CRM) should be processed with each analytical batch.
Extraction. Letting C denote an active Xxx’s view of the protocol, SD ((kA, C, E | kA ⊥), (Uλk , C, E)) ≤ s and SD ((kB, C, E | kB ƒ=⊥), (Uλk , C, E)) ≤ s . Our Protocol Before going into details in subsequent sections, we present here a high-level overview of our protocol. We start with an authentication sub-protocol Auth presented in [RW03] that achieves the following: using the secret w that is common to Xxxxx and Xxx, it allows Xxxxx to send to Bob an authentic (but nonse- cret) message M of length λM bit-by-bit in 2λM messages. Xxxxx and Xxx [RW03] can use this sub-protocol in order to agree on a key k as follows: they use Auth to get an extractor seed s from Xxxxx to Bob, and then extract k from w using s.1 We modify this protocol by using Auth to authenticate a MAC key instead of an extractor seed. The MAC key, in turn, is used to authenticate the extrac- tor seed s (which can be done very efficiently using simple information-theoretic MACs). This seems counterintuitive, because Xxxx reveals what is being authen- ticated, while MAC keys need to remain secret. The insight is to use the MAC key before Auth begins.2 Our modification is beneficial for three reasons. First, MAC keys can be made shorter than extractor keys, so Auth is used on a shorter string, thus reducing the number of rounds and the entropy loss. Second, this modification allows us to use the same MAC key to authenticate not only the extractor seed s, but also the error-correction information (the so-called “secure sketch” of w [DORS08]) in the case Bob’s wj is different from Xxxxx’s w. Third, because there are MACs that are secure even against (limited) key modifica- tion [DKRS06,CDF+08], we can lower the security parameters in Auth, further increasing efficiency and reducing entropy loss. The rest of the paper is devoted to filling in the details of the above overview, including smaller improvements not discussed here, and proving the following theorem. M { } M
Theorem 1. Given an [n, κ, 2η + 1]2 linear error correcting code, the proto- col presented in Section 4 is an ( , hW , λk, η, δ, s)-interactive robust fuzzy ex- traction protocol, where is the Hamming space over 0, 1 n with the fol- lowing parameters: Setting security δ = 2−L, the protocol can extract λk = hW − (n − κ) − 2 log 1 − (L2/2 + O(L(log n + log L))) bits (assuming n < 2L and 1ε λk − (n − κ) + 2 log ε > 10L). The protocol involves an exchange of L + log n + 5 The constant hidden by the O in the entropy loss is small, with O(L(log...
Extraction. A ventilator system with a high extraction rate has been installed to prevent dust build up in the blasting chamber and improve visibility. The filters are cleaned automatically with an adjustable cleaning pressure to suit different media and applications.
Extraction. A portion of the homogenized sample must be extracted in an organic solvent that is suitable for recovering cannabinoids.
