Shamir’s Secret Sharing Sample Clauses

Shamir’s Secret Sharing. ‌ The Shamir’s Secret Sharing (SSS) [40] was formulated by Xxx Xxxxxx in 1979 in his article “How to share a secret”. There he first proposed a simple, ideal and perfect (𝑡, 𝑛)-threshold scheme based on polynomial interpolation over finite fields in 2D plane [40]. The share is distribute by the computation of a polynomial of degree 𝑡 − 1. For instance in order to reconstruct the secret with three devices chosen from the complete set of 𝑛 the distribute polynomial will be 𝑓 (𝑥) = 𝑎𝑥2 + 𝑏𝑥 + 𝜅, (2.1) where 𝜅 is the secret to distribute and 𝑎 and 𝑏 are at random chosen values from 𝑡 − 1 set. The distributed share, if distributed correctly, can be in case of SSS recovered by Lagrange interpolation stated in Equation 2.1. ∑︁ 𝐿 𝐿(𝑥) := 𝑦𝑗 𝑗(𝑥), (2.2) where 𝑦𝑗 is the 𝑦 coordinate from the given set of 𝑡 + 1 data points (𝑥𝑗, 𝑦𝑗) with no two values 𝑥𝑗 equal, and 𝐿𝑗 is a Lagrange polynomial basis stated in Equation 2.3. 𝐿 (𝑥) := ∏︁ 𝑥 − 𝑥𝑚 = 𝑥 − 𝑥0 . . . 𝑥 − 𝑥𝑗−1 · 𝑥 − 𝑥𝑗+1 . . . 𝑥 − 𝑥𝑘 , (2.3) 𝑚̸=𝑗 𝑥𝑗 − 𝑥𝑚 𝑥𝑗 − 𝑥0 𝑥𝑗 𝑗−1 𝑥𝑗 𝑥𝑗 − 𝑥𝑘 ∏︁ The secret, that is distributed is the free coefficient of the polynomial. Considering that this secret can be recovered, when computing the interpolation for 𝑥 = 0. For given 𝑡-number of values to find 𝑓 (0), the Lagrange interpolation formula can be simplified as ∑︁ 𝑥𝑚 𝑡−1 𝑓 (𝜅) = 𝑦 𝑡−1 𝑚=0 𝑥𝑚 𝑚̸=�� − 𝑥𝑗 The protocol can also be modified to Elliptic Curves (EC) by generating the public key as a point on the EC by computing the 𝐺 · 𝑠𝑘, where 𝑠𝑘 is chosen scalar at random ranging to the order of 𝐺𝐹𝑞, and by choosing the 𝜅 again as a random point on the EC. In the implementation of the ShSSAKA demonstrative application we use the EC modification.
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Related to Shamir’s Secret Sharing

  • Information Sharing (a) HHSC will provide the MA Dual SNP with resources regarding the LTSS covered by Medicaid in accordance with this section. (b) Texas Medicaid benefits are described in Attachment B, Texas Medicaid Summary of Benefits. The MA Dual SNP must include the Texas Medicaid Summary of Benefits in its Member Handbook for the MA Product. (c) HHSC and the MA Dual SNP will identify and share information, such as the following: (1) HHSC will provide the MA Dual SNP with links to online Medicaid LTSS provider information for the traditional fee-for-service and STAR+PLUS programs. Within thirty (30) business days after receiving such information, the MA Dual SNP must post a link to this information on its website. (2) The MA Dual SNP must: A) Notify Dual Eligible Members and Other Dual SNP Members, via its member communication materials that information concerning Medicaid provider participation is available on the MA Dual SNP’s website; and B) Notify Dual Eligible Members and Other Dual SNP Members that they may request written copies of Medicaid Provider directories by contacting their STAR+PLUS MCO, C) Assist the Dual Eligible Members and Other Dual SNP Members in obtaining printed copies of Medicaid Provider directories from their STAR+PLUS MCO, and D) Verify that the Dual Eligible Members and Other Dual SNP Member received the requested directory. (3) The MA Dual SNP must notify Network Providers that information concerning Medicaid provider participation is available on the MA Dual SNP’s website. The MA Dual SNP must provide this notice in the Network Provider agreement, Network Provider manuals, bulletins, faxes, policies and procedures, provider manual updates, or other contractual documents. (4) The MA Dual SNP must have written procedures for ensuring that Dual Eligible Members and Other Dual SNP Members have access to the services identified in the MA Product, including policies regarding network adequacy that are consistent with the requirements of the MA Agreement. The MA Dual SNP must provide HHSC with a copy of these policies no later than 5 business days after a request. (d) The MA Dual SNP must encourage Network Provider SNF to electronically submit to the HHSC Medicaid claims administrator a resident transaction notice within 72 hours after a Dual Eligible Member’s admission or discharge from the nursing facility, in accordance with 40 Tex. Admin. Code § 19.2615. (e) The MA Dual SNP is required to notify HHSC of significant changes to the terms of its CMS contract within 10 business days of such changes, which may include but is not limited to the following: changes in the services areas; plan benefit package (PBP) changes; non-renewal; terminations or deficiencies of the contract; notices of intent to deny; and any novation agreements. Plans must submit any CMS warning letters or corrective action plans within 10 business days of receipt to the HHSC point-of- contact identified in Section 9.06. (f) The MA Dual SNP is required to notify HHSC in the event the Plan receives less than a 3.0 star Medicare rating on either its Part C or Part D scores. The Plan must provide an outline of the steps proposed or implemented to improve the low score. (g) The MA Dual SNP must participate in meetings with HHSC, telephonic or in person, relating to the health care provided under this Agreement and their compliance with this Agreement's terms, and to timely provide any necessary information and data upon HHSC's request. (h) The MA Dual SNP, upon request from HHSC, must provide all documents it provides to and receives from CMS, within 30 days of the HHSC request, unless an extension is granted by HHSC.

  • Scholarly Sharing On an ad hoc basis, the Authorized Users may transmit to a third party, in hard copy or electronically, minimal, insubstantial amounts or a portion of the Licensed Materials for personal use or scholarly, educational, or scientific research or professional use in the nature of collaboration, comment, or scholarly exchange of ideas but in no case for resale or commercial purposes or in a manner that would substitute for direct access to the Licensed Materials via services offered by the Distributor and/or the Publisher.

  • Employee Benefit Plans; Employment Agreements Except in --------------------------------------------- each case as set forth in SCHEDULE 4.10, (i) there has been no "prohibited transaction," as such term is defined in Section 406 of the Employee Retirement Income Security Act of 1975, as amended ("ERISA") and Section 4975 of the Code, with respect to any employee pension plans (as defined in Section 3(2) of ERISA, any material employee welfare plans (as defined in Section 3(1) of ERISA), or any material bonus, stock option, stock purchase, incentive, deferred compensation, supplemental retirement, severance and other similar fringe or employee benefit plans, programs or arrangements (collectively, the "COMPANY EMPLOYEE PLANS") which could result in any liability of the Company or any of its Subsidiaries; (ii) all Company Employee Plans are in compliance in all material respects with the requirements prescribed by any and all Laws (including ERISA and the Code), currently in effect with respect thereto (including all applicable requirements for notification to participants or the Department of Labor, Pension Benefit Guaranty Corporation (the "PBGC"), Internal Revenue Service (the "IRS") or Secretary of the Treasury), and the Company and each of its Subsidiaries have performed all material obligations required to be performed by them under, are not in any material respect in default under or violation of, and have no knowledge of any material default or violation by any other party to, any of the Company Employee Plans; (iii) each Company Employee Plan intended to qualify under Section 401(a) of the Code and each trust intended to qualify under Section 501(a) of the Code is the subject of a favorable determination letter from the IRS, and nothing has occurred which may reasonably be expected to impair such determination; (iv) all contributions required to be made to any Company Employee Plan pursuant to Section 412 of the Code, or the terms of any Company Employee Plan or any collective bargaining agreement, have been made on or before their due dates; (v) with respect to each Company Employee Plan, no "reportable event" within the meaning of Section 4043 of ERISA (excluding any such event for which the 30-day notice requirement has been waived under the regulations to Section 4043 of ERISA) nor any event described in Section 4062, 4063 or 4041 of ERISA has occurred; (vi) no withdrawal (including a partial withdrawal) has occurred with respect to any multiemployer plan within the meaning set forth in Section 3(37) of ERISA that has resulted in, or could reasonably be expected to result in, any withdrawal liability for the Company or any of its Subsidiaries; (vii) neither the Company nor any of its Subsidiaries has incurred, or reasonably expects to incur, any liability under Title IV of ERISA (other than liability for premium payments to the PBGC, and contributions not in default to the respective plans, arising in the ordinary course), (viii) none of the Company or any of its Subsidiaries is a party to any employment, consulting or similar agreement; and (ix) none of the Company or any of its Subsidiaries is or will be liable for any severance or other payments to any of its employees as a result of this Agreement or the consummation of the transactions contemplated hereby.

  • JOB SHARING North Bay; Perth-Huron; Peterborough, Victoria & Haliburton; Sarnia- Lambton Taking into consideration the fact that the Employer wishes to retain well- qualified staff who are unable or prefer not to provide a full-time commitment and the job-sharing can enable this to happen, the parties agree to the following provisions: (a) Job-sharing requests with regard to full-time positions shall be considered on an individual basis, and the Employer shall reserve the right to determine the appropriateness of such arrangements, including the number of job-shared positions after discussions with the Union at the Labour Management Committee. (b) Any incumbent full-time Nurse wishing to share their position may do so without having their half (½) of the position posted. The other half (½) of the job-sharing position will be posted, and selection will be in accordance with the Collective Agreement. (c) Save and except as provided for herein, all job-sharers shall be treated as part-time employees and shall receive percentage in lieu of benefits. (d) If one (1) of the job-sharers leaves the arrangement, their position will be posted. If there is no successful applicant to the position, the shared position must revert to a full-time position. The remaining Nurse will have the option of continuing the full-time position or reverting to a part-time position for which they are qualified. If they do not continue full-time, the position must be posted in accordance with the Collective Agreement. (e) Posted schedules for the job-sharers shall be based on the schedules that would apply to a full-time Nurse holding that position. Such schedule shall conform to the scheduling provisions for full- time. (f) Total hours worked by the two job-sharers shall be equal to one full- time position. The division of these hours over the schedule shall be determined by mutual agreement between the two Nurses and the immediate Supervisor. This does not exclude the Nurses from opportunities for extra available work. (g) Each job-sharer may exchange shifts with their partner, as well as with other Nurses in accordance with the Collective Agreement, provided such exchange creates no additional labour cost to the Employer and meets continuity requirements. (h) It is expected that both job-sharers will cover each other’s absences including incidental illnesses and vacation. If, because of unavoidable circumstances, one cannot cover the other, the Supervisor must be notified to book coverage. Job-sharers are not required to cover for their partners in the case or prolonged or extended absences but may be offered the opportunity to do so. (i) Job-sharers will not be required to work in total more paid holidays than would one full-time Nurse, unless mutually agreed otherwise. Job-sharers will have the right to determine which partner works the scheduled holidays. (j) Either party may discontinue the arrangement with one month’s written notice and the employees shall revert to their former status without posting if such positions are still available. 14.14 Christmas/New Year’s Xxxxxxxxxxxx, Xxxxxxxx & Haliburton

  • Leave Sharing Consistent with RCW 28A.400.380 and WAC 392-126, a leave sharing program is established as follows: A. A district employee is eligible to receive donated leave if: 1. The staff member suffers from, or has a relative or household member suffering from, an extraordinary or severe illness, injury, impairment, or physical or mental condition which as caused, or is likely to cause, the staff member to: a. Go on leave without pay status; or b. Terminate his/her employment; 2. The staff member’s absence and the use of shared leave are justified; 3. The staff member has depleted, or will shortly deplete, his/her annual leave and sick leave reserves; 4. The staff member has abided by district rules regarding sick leave use; and 5. The staff member has diligently pursued and been found to be ineligible to receive industrial insurance benefits. Any employee who wishes to receive leave under this provision shall submit a request in writing to the personnel office. The employee shall submit, prior to leave sharing approval, documentation from a licensed physician or other authorized health care practitioner verifying the severe or extraordinary nature and expected duration of the condition. Employees meeting the criteria indicated above shall be eligible for leave sharing. A staff member shall not receive more leave than the number of normal work days remaining in the current school year. In the event that the condition requiring the employee’s absence continues beyond the current school year, the employee shall not receive a total of more than 261 days of leave. B. District employees may donate leave as follows: 1. An employee who does not earn annual leave (vacation) and who has an accrued sick leave balance of more than sixty (60) days may request that the superintendent or designee transfer a specified amount of sick leave to another staff member authorized to receive such leave. A staff member may request to transfer no more than six (6) days of sick leave during any twelve (12) month period, and may not request a transfer that would result in an accrued sick leave balance of fewer than sixty (60) days. Employees who accrue vacation must transfer vacation days prior to sick leave days. Sick leave as defined in RCW 28A.58.099 (28A.400.300) means leaves for illness, injury, and emergencies. The number of leave days transferred shall not exceed the amount authorized by the donating staff member. 2. The value of any leave transferred under this policy which remains unused shall be returned to its original value to the staff member who donated the leave. To the extent administratively feasible, the value of unused leave which was transferred by more than one staff member shall be returned on a pro-rata value basis.

  • Shareholder and Similar Agreements The Company is not party to any shareholder, pooling, voting trust or other similar agreement relating to the issued and outstanding shares in the capital of the Company or any of its subsidiaries.

  • Sick Leave Sharing The program permits employees to donate sick leave to a fellow employee who is suffering from or has a relative or household member suffering from an extraordinary or severe illness, injury, impairment, or physical, or mental condition which has caused or is likely to cause the employee to take leave without pay or to terminate employment

  • Prior Employment Agreements The Executive represents that he/she has not executed any agreement with any previous employer which may impose restrictions on Executive’s employment with the Employer.

  • Covenant Not to Solicit Employees The Executive agrees not to, directly or indirectly, solicit or employ the services of any officer or employee of the Bank (including an individual who was an officer or employee of the Bank during the one year period following the Executive’s termination) for one year after the Executive’s employment termination.

  • Employee Interview A new employee will have the opportunity to meet with a representative of the Union in the employ of the Hospital for a period of up to 15 minutes during the employee's orientation period without loss of regular earnings. The purpose of the meeting will be to acquaint the employee with such representative of the Union and the collective agreement. Such meetings may be arranged collectively or individually for employees by the Hospital as part of the orientation program.

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