Non-Malleable Sample Clauses

Non-Malleable. Compact, Multi-Party Range Proofs from Bulletproofs‌ We propose a Logarithmic-sized, Non-Malleable, Non-Interactive, Multi-Party Bulletproof Range Proof scheme with an updated version of improved inner product argument. The improved inner product argument [38, 50] can securely convince a verifer given (h, g, P = hl · gr, πIP) that the prover knows (l, r). The fascinating property of IP is it compresses 2|l| elements of (l, r) to πIP which only has two Zp components and 2 log2 |l| G components (prefer [72] for additional details). The proposed Non-Malleable MBP only uses strong Fiat Shamir challenges derived from a hash function giving the commitment as an input. The strong Fiat Shamir challenges guarantee non-malleability of RP and IP, making unique challenges for the particular commitment. Here, ki is the partial key belong the ith party and v is the coin amount of asset Cv,Σ k. MBP allows n parties to generate range proofs for coin amounts in range [0, 2l − 1] without sharing their partial keys with the combiner (prefer [50] for notations. However, we interchange variable symbols g with h and h with g). RP.Set(λ): return pp = (G, g, h, g, h, u, p) // when a group G = ⟨g⟩, ⟨h⟩, ⟨u⟩ of prime order p ∈ {0, 1}λ and g, h, and u are DL problem hard (NUMS points). g and h are generator vectors of G where |g| = |h| = l and Vpp = [0, 2l − 1]. RP.Prv(pp, C = Cv,Σ k, v, k, n): if n = empty : n := |k| // The combiner (the dealer) starts the function. aL ∈ {0, 1}l : ⟨aL, 2l⟩ = v, aR := aL − 1l $ $ sL, sR ←− Zl , (α, ρ) ←− Zp, A ← gαhaL gaR , S ← gρhsL gsR y ← H(C, A, S), z ← H(C, A, S, y) L(X) := (aL − z · 1l) + sL · X, R(X) := yl · (aR + z · 1l + sR · X) + z2 · 2l t(X) := ⟨L(X), R(X)⟩ = t0 + t1 · X + t2 · X2 gt1 = {}, gt2 = {} for i ∈ [1, n] do // The combiner requests gτ1,i, gτ2,i from each co-prover i. τ1,i , τ2,i ←− Z2 // Each co-prover i shares gτ1,i, gτ2,i with the combiner j. $
Sample 1

Related to Non-Malleable

  • Shared Transport The Shared Transport Network Element (“Shared Transport”) provides the collective interoffice transmission facilities shared by various Carriers (including Qwest) between end-office switches and between end-office switches and local tandem switches within the Local Calling Area. Shared Transport uses the existing routing tables resident in Qwest switches to carry the End User Customer’s originating and terminating local/extended area service interoffice Local traffic on the Qwest interoffice message trunk network. CLEC traffic will be carried on the same transmission facilities between end- office switches, between end-office switches and tandem switches and between tandem switches on the same network facilities that Qwest uses for its own traffic. Shared Transport does not include use of tandem switches or transport between tandem switches and end-office switches for Local Calls that originate from end users served by non- Qwest Telecommunications Carriers (“Carrier(s)”) which terminate to QLSP End Users.

  • NON-SMOKING UNIT ENTRY BY OWNER

  • Tandem Transit Traffic ‌ 12.1 As used in this Section, Tandem Transit Traffic is Telephone Exchange Service traffic that originates on Onvoy's network, and is transported through Frontier’s Tandem to the subtending End Office or its equivalent of another carrier (CLEC, ILEC other than Frontier, Commercial Mobile Radio Service (CMRS) carrier, or other LEC (“Other Carrier”). Neither the originating nor terminating customer is a Customer of Frontier. Subtending End Offices shall be determined in accordance with and as identified in the Local Exchange Routing Guide (LERG). For the avoidance of any doubt, under no circumstances shall Frontier be required to transit traffic through a Frontier Tandem to a Central Office that the LERG does not identify as subtending that particular Frontier Tandem. Switched Exchange Access Service traffic is not Tandem Transit Traffic. 12.2 Tandem Transit Traffic Service provides Onvoy with the transport of Tandem Transit Traffic as provided below. 12.3 Tandem Transit Traffic may be routed over the Interconnection Trunks described in Sections 2 through 6 of this Attachment. Onvoy shall deliver each Tandem Transit Traffic call to Frontier’s Tandem with CCS and the appropriate Transactional Capabilities Application Part (“TCAP”) message to facilitate full interoperability of CLASS Features and billing functions. 12.4 Onvoy may use Tandem Transit Traffic Service only for traffic that originates on Onvoy’s network and only to send traffic to an Other Carrier with whom Onvoy has a reciprocal traffic exchange arrangement (either via written agreement or mutual tariffs) that provides for the Other Carrier, to terminate or complete traffic originated by Onvoy and to bill Onvoy, and not to bill Frontier, for such traffic. Onvoy agrees not to use Frontier’s Tandem Transit Traffic Service to send traffic to an Other Carrier with whom Onvoy does not have such a reciprocal traffic exchange arrangement or to send traffic that does not originate on Onvoy’s network. 12.5 Onvoy shall pay Frontier for Tandem Transit Traffic Service at the rates specified in the Pricing Attachment. Frontier will not be liable for compensation to any Other Carrier for any traffic that is transported through Frontier’s Tandem and Frontier reserves the right to assess to Onvoy any additional charges or costs any Other Carrier imposes or levies on Frontier for the delivery or termination of such traffic, including any Switched Exchange Access Service charges. If Frontier is billed by any Other Carrier for any traffic originated by Onvoy, Frontier may provide notice to Onvoy of such billing. Upon receipt of such notice, Onvoy shall immediately stop using Frontier’s Tandem Transit Traffic Service to send any traffic to such Other Carrier until it has provided to Frontier certification that the Other Carrier has removed such billed charges from its bill to Frontier and that the Other Carrier will not bill Frontier for any traffic originated by Onvoy. Such certification must be signed by an authorized officer or agent of the Other Carrier and must be in a form acceptable to Frontier. 12.6 If Onvoy uses Tandem Transit Traffic Service for traffic volumes that exceed the Centum Call Seconds (Hundred Call Seconds) busy hour equivalent of 200,000 combined minutes of use per month (a DS1 equivalent) to the subtending End Office of a particular Other Carrier for any month (the “Threshold Level”). Onvoy shall use good faith efforts to establish direct interconnection with such Other Carrier and reduce such traffic volumes below the Threshold Level. If Frontier believes that Xxxxx has not exercised good faith efforts promptly to obtain such direct interconnection, either Party may use the Dispute Resolution processes of this Agreement. 12.7 If Onvoy fails to comply with Section 12 of this Attachment, such failure shall be a material breach of a material provision of this Agreement and Frontier may exercise any and all remedies under this Agreement and Applicable Law for such breach. 12.8 If or when a third party carrier plans to subtend an Onvoy switch, then Onvoy shall provide written notice to Frontier at least ninety (90) days before such subtending service arrangement becomes effective so that Frontier may negotiate and establish direct interconnection with such third party carrier. Upon written request from Frontier, Onvoy shall offer to Frontier a service arrangement equivalent to or the same as Tandem Transit Traffic Service provided by Frontier to Onvoy as defined in this Section such that Frontier may terminate calls to a Central Office or its equivalent of a CLEC, ILEC other than Frontier, CMRS carrier, or other LEC, that subtends an Onvoy Central Office or its equivalent (“Reciprocal Tandem Transit Service”). Onvoy shall offer such Reciprocal Transit Service arrangements under terms and conditions of an amendment to this Agreement or a separate agreement no less favorable than those provided in this Section. 12.9 Neither Party shall take any actions to prevent the other Party from entering into a direct and reciprocal traffic exchange arrangement with any carrier to which it originates, or from which it terminates, traffic.

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  • Interest Unpaid Class Accrued Certificate Interest Shortfalls Interest Class Interest Payable Pay-out Rate ----- -------- ------------------- ------- ------------ R $ 0.00 $ 0.00 $ 0.00 %0.000000000 PO $ 0.00 $ 0.00 $ 0.00 %0.000000000 A1 $ 153,408.89 $ 0.00 $ 153,408.89 %5.950000013 A2 $ 228,536.00 $ 0.00 $ 228,536.00 %6.000000000 A3 $ 892,574.07 $ 0.00 $ 892,574.07 %6.249999980 A4 $ 188,303.45 $ 0.00 $ 188,303.45 %5.463749883 A5 $ 104,641.75 $ 0.00 $ 104,641.75 %3.036249996 A6 $ 1,265,469.75 $ 0.00 $ 1,265,469.75 %6.500000012 A7 $ 807,304.70 $ 0.00 $ 807,304.70 %6.500000035 A8 $ 288,597.53 $ 0.00 $ 288,597.53 %6.500000029 A9 $ 5,475.51 $ 0.00 $ 0.00 %6.500004595 A10 $ 102,533.15 $ 0.00 $ 102,533.15 %6.500000317 A11 $ 36,259.17 $ 0.00 $ 36,259.17 %6.500000598 A12 $ 8,706.67 $ 0.00 $ 8,706.67 %8.000003063 A13 $ 97,830.41 $ 0.00 $ 97,830.41 %5.663749756 A14 $ 48,990.77 $ 0.00 $ 48,990.77 %9.217811872 A15 $ 0.00 $ 0.00 $ 0.00 %0.000000000 A16 $ 8,205.08 $ 0.00 $ 0.00 %6.499997726 A17 $ 27,377.53 $ 0.00 $ 0.00 %6.499999821 A18 $ 31,669.04 $ 0.00 $ 31,669.04 %6.749999467 A19 $ 32,841.97 $ 0.00 $ 32,841.97 %7.000000000 A20 $ 0.00 $ 0.00 $ 0.00 %0.000000000 A21 $ 11,860.87 $ 0.00 $ 0.00 %6.499999338 A22 $ 515,883.47 $ 0.00 $ 515,883.47 %6.500000016 S $ 336,620.40 $ 0.00 $ 336,620.40 %0.454839554 RL $ 0.00 $ 0.00 $ 0.00 %0.000000000 M $ 95,282.60 $ 0.00 $ 95,282.60 %6.500000161 B1 $ 38,626.76 $ 0.00 $ 38,626.76 %6.499999201 B2 $ 23,177.14 $ 0.00 $ 23,177.14 %6.499999887 B3 $ 25,751.18 $ 0.00 $ 25,751.18 %6.500000875 B4 $ 10,301.55 $ 0.00 $ 10,301.55 %6.499998651 B5 $ 12,875.59 $ 0.00 $ 12,875.59 %6.499998605

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