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. 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 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. 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. 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. 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)) ≤ ϵ and SD ((kB, C,E | kB /=⊥), (Uλk , C, E)) ≤ ϵ. 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 Xxx an authentic (but nonsecret) 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 Xxx, 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 extractor seed s (which can be done very efficiently using simple information-theoretic MACs). This seems counterintuitive, because Xxxx reveals what is being authenticated, 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 Xxx’s w' is different from Xxxxx’s w. Third, because there are MACs that are secure even against (limited) key modification [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. 1For technical reasons, since the adversary can modify message of Auth, she may have some information about the string extracted from w; this problem is easily handled, see Section 4. 2This idea has been used before in several contexts; to the best of our knowledge it was first used in [Che97] in the context of secure link state routing. Theorem 1. Given an [n, κ, 2η +1]2 linear error correcting code, the protocol presented in Section 4 is an ( , hW , λk, η, δ, ϵ)-interactive robust fuzzy extraction protocol, where is the Hamming space over 0, 1 n with t...
Extraction. Subject to full payment being received by Company, each Buyer has the right and obligation to remove the released item(s) purchased from Company premises prior to April 1, 2006 (the “Extraction End Date”) in an orderly manner, unless otherwise mutually agreed upon in writing, by themselves or their representatives, under the following guidelines:
Extraction. JWA Contract personnel shall approve Contractor’s recommended carpet extraction methods and procedures.
