Complexity Assumptions Sample Clauses

Complexity Assumptions. Let G be a cyclic additive group generated by point P, whose order is a prime q. We review the following well-known problems to be used in the security analysis of our scheme. q
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Complexity Assumptions. The complexity assumptions for this scheme are the same as for the original scheme by Jao, De Feo and Pluˆt [6]. We list them here. n As before, let p be a prime of the form Ae1 Ae2 · · · Aen · f ± 1, and fix a super- { } { } { } singular curve E over Fp2 together with bases P1, Q1 , P2, Q2 , . . . , Pn, Qn of E[Ae1 ], E[Ae2 ], . . . , E[Aen ], respectively.
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Complexity Assumptions. ∈ Let G denote a cyclic additive group of elliptic curve over finite field, P G denote a generator of group G, and q is the prime order of group G. Then we have the following computational or decisional hard problems. ∈ { }
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Complexity Assumptions. (Computational Xxxxxx-Xxxxxxx (CDH) Assumption). Let 𝑝 𝐺 represent a finite cyclic group of order 𝑛 . The CDH problem is computing gab based on the given elements (𝑔, 𝑔𝑎, 𝑔𝑏) , where 𝑔 and (𝑎, 𝑏) are represent the generator of 𝐺 and the random number in 𝑍∗, respectively. The probability of solving the CDH problem for any algorithm in probabilistic polynomial time (PPT) is negligible. (Decisional Xxxxxx-Xxxxxxx (DDH) Assumption). let 𝐺 represent a finite cyclic group of order n . The DDH problem is distinguishing 𝑔𝑐 and 𝑔𝑎𝑏 based on the given elements 𝑝 (𝑔, 𝑔𝑎, 𝑔𝑏, 𝑔𝑐), where 𝑔 and (𝑎, 𝑏, 𝑐) are represent the generator of G and the random number in 𝑍∗, respectively. The probability of solving the DDH problem for any algorithm in PPT is negligible.
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Complexity Assumptions. In this section we present the complexity assumptions required for our construction.
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Complexity Assumptions. Computational Xxxxxx-Xxxxxxx Assumption Given g a and gb for some a,b,c ∈ Z * , compute e(g, g)abc ∈ G . A (τ ,ε ) -CDH q attacker in G2 is a probabilistic machine Ω running in time τ such that G Succcdh (Ω) = Pr[Ω(g, ga , gb , gc ) = e(g, g)abc ] ≥ ε where the probability is taken over the random values a , b and
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Related to Complexity Assumptions

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  • Projects The Annexes attached hereto describe the specific projects and the policy reforms and other activities related thereto (each, a “Project”) that the Government will carry out, or cause to be carried out, in furtherance of this Compact to achieve the Objectives and the Compact Goal.

  • For Product Development Projects and Project Demonstrations  Published documents, including date, title, and periodical name.  Estimated or actual energy and cost savings, and estimated statewide energy savings once market potential has been realized. Identify all assumptions used in the estimates.  Greenhouse gas and criteria emissions reductions.  Other non-energy benefits such as reliability, public safety, lower operational cost, environmental improvement, indoor environmental quality, and societal benefits.  Data on potential job creation, market potential, economic development, and increased state revenue as a result of the project.  A discussion of project product downloads from websites, and publications in technical journals.  A comparison of project expectations and performance. Discuss whether the goals and objectives of the Agreement have been met and what improvements are needed, if any.

  • Project Development a. Collaborate with COUNTY and project clients to identify requirements and develop a project Scope Statement.

  • Workloads (a) The parties agree that patient care is enhanced if concerns relating to professional practice, patient acuity, fluctuating Work-Loads and fluctuating staffing are resolved in a timely and effective manner.

  • Sub-projects 1. The Participating Bank shall make Sub-loans to Beneficiaries and appraise, review, approve, and supervise Sub-projects in accordance with the criteria, conditions and procedures set forth in the Operations Manual, including, inter alia, the following eligibility criteria:

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  • Parameters In calculating the MtM Exposure for each Transaction, the following parameters are set on the Transaction Date: ▪ On-Peak Initial Xxxx Xxxxx ▪ Off-Peak/On-Peak Price Ratio ▪ Off-Peak Initial Xxxx Xxxxx ▪ MW-Measure: initial Capacity PLC Per Tranche ▪ On-Peak Estimated Energy Quantity Per MW-Measure for each of the twelve calendar months ▪ Off-Peak Estimated Energy Quantity Per MW-Measure for each of the twelve calendar months ▪ Number of awarded Tranches In calculating the MtM Exposure for each Transaction, the following parameters are set each Trading Day subsequent to the Transaction Date: ▪ On-Peak Forward Price ▪ Off-Peak Forward Price ▪ Current Capacity PLC Per Tranche ▪ On-Peak Estimated Energy Quantity ▪ Off-Peak Estimated Energy Quantity Process to Update the On-Peak Initial Mark Prices and Off-Peak Initial Mark Prices on a Daily Basis On each Trading Day subsequent to the Transaction Date, the Pricing Agent will contact four Reference Market-Makers to obtain price quotes for on-peak and off-peak energy for PJM Western Hub. The Pricing Agent may not rely upon quotes from Seller or any Affiliate of Seller. The updated mark for a month will be equal to the average mark for that month over all sources from which a quote is available. If a monthly quote is available from any source, only the monthly quote or monthly quotes shall be used. Where quotes provide a bid and ask, the average shall be used. Where a quote for an individual month is unavailable, but the month is quoted as part of a “packaged” quote (e.g., January 2011 is only available in the form of a January/February 2011 “packaged” quote or an annual quote): ▪ If the other month/months of the package quote is/are also unavailable, then the marks for all months of the package will be calculated by multiplying the packaged quote by the ratio of the corresponding month to the corresponding calculated package quote from the previous day. Example: There are no On-Peak quotes available on day X during the contract for July 2011 or August 2011. However, there is an On-Peak July/August 2011 packaged quote of $73.00/MWh available. The On-Peak marks from day X-1 for July 2011 and August 2011 were $73.50/MWh and $76.50/MWh respectively. The day X On-Peak mark for July 2011 is set at 73.00 * [73.50] / [( (73.50 * 352) + (76.50 * 336) ) / (352+336) ] = 73 * (73.50/ 74.97) = $71.57/MWh. The day X On-Peak mark for August 2011 is set at 73.00 * [76.50] / [( (73.50 * 352) + (76.50*336) ) / (352+336) ] = 73 * (76.50 / 74.97) = $74.49/MWh. ▪ If the other month/months of the package quote is/are available, then the mark for the month will be set such that the average of the month and the other month(s) (weighted for either the On-Peak Hours or Off-Peak Hours as applicable) equals the packaged quote (see calculation example below).

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