Key Tree Notation Sample Clauses

Key Tree Notation. Key tree is earliest proposed by Xxxxxxx, Xxxxxx and Xxxx (1999) and emerged in group key agreement by Xxx et al. (2000;2004) in TGDH protocols and Xxxxx et al. (1998) in STR protocol. The tree structure is widely implemented to decrease the communication, computation and storage overhead. The number of communication rounds to form the group key can be reduced to the logarithm of the group size. The braid groups cannot implement with balanced key tree as TGDH protocol, because limitation of braid groups operations and properties. Therefore key tree in this research is based on unbalanced key tree similar to STR protocol. Key tree is implemented in protocol according to be suitable solution for contributory group key agreement in MANET because it does not require that the members are be serialized or structured in order to compute the group. The following section describes the notation and definition of key tree. A sample of key tree based on STR is shown in Figure 3.1. The binary tree, every node is either a leaf or a parent of two nodes, is used in key tree. Each node is represented as [h,v] what is associated with a secret key K[h, v] and a blinded key BK[h, v]. The blinded key is calculated as f(K[h, v]) where function f ( ) is braid groups key exchange what describe in next section. The members are located at the leaf node. The information of each intermediate node, key and blinded key, is computed from the information of two children nodes to achieve the subgroup key. The leaf node Mi, where 1 ≤ i ≤ n, knows every key along the path from node Mi to root node, this path is called the key-path. In Figure 3.1, M1 knows every key { K[3,0] , K[2, 0] ] , K[1, 0] ] , K[0, 0] } in key-path { [3,0], [2,0], [1,0], [0,0] }. The co-path is the set of sibling nodes of each node in the key-path of a member Mi. The sample in Figure 3.1, the co-path of M1 is set of node { [3,1], [2,1], [1,1] }. The group secret key is key at the root node, K[0, 0], what can be computed from all blind keys on the co-path and session random K[h, v] of a computing node (member). [1,1] M4 [2,0] M3 [3,0] [3,1] M1 M2
Sample 1
AutoNDA by SimpleDocs

Related to Key Tree Notation

  • Notation Agent, as a non-fiduciary agent for Borrowers, shall maintain a register showing the principal amount of the Revolving Loans, owing to each Lender, including the Swing Loans owing to Swing Lender, and Extraordinary Advances owing to Agent, and the interests therein of each Lender, from time to time and such register shall, absent manifest error, conclusively be presumed to be correct and accurate.

  • Notation of Payment Each Lender agrees that before disposing of any Note held by it, or any part thereof (other than by granting participations therein), that Lender will make a notation thereon of all Loans evidenced by that Note and all principal payments previously made thereon and of the date to which interest thereon has been paid; provided that the failure to make (or any error in the making of) a notation of any Loan made under such Note shall not limit or otherwise affect the obligations of Company hereunder or under such Note with respect to any Loan or any payments of principal or interest on such Note.

  • Notation on Notes Notes authenticated and delivered after the execution of any supplemental indenture pursuant to the provisions of this Article 10 may, at the Company’s expense, bear a notation in form approved by the Trustee as to any matter provided for in such supplemental indenture. If the Company or the Trustee shall so determine, new Notes so modified as to conform, in the opinion of the Trustee and the Board of Directors, to any modification of this Indenture contained in any such supplemental indenture may, at the Company’s expense, be prepared and executed by the Company, authenticated by the Trustee (or an authenticating agent duly appointed by the Trustee pursuant to Section 17.10) and delivered in exchange for the Notes then outstanding, upon surrender of such Notes then outstanding.

  • Warrants Legend The Warrants shall bear the following or similar legend: “THIS WARRANT AND THE COMMON SHARES ISSUABLE UPON EXERCISE OF THIS WARRANT HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED. THIS WARRANT AND THE COMMON SHARES ISSUABLE UPON EXERCISE OF THIS WARRANT MAY NOT BE SOLD, OFFERED FOR SALE, PLEDGED OR HYPOTHECATED IN THE ABSENCE OF AN EFFECTIVE REGISTRATION STATEMENT AS TO THIS WARRANT UNDER SAID ACT OR ANY APPLICABLE STATE SECURITIES LAW OR AN OPINION OF COUNSEL REASONABLY SATISFACTORY TO [THE COMPANY] THAT SUCH REGISTRATION IS NOT REQUIRED.”

  • Notation Not Required Neither the Company nor any Subsidiary Guarantor shall be required to make a notation on the Notes to reflect any Subsidiary Guarantee or any release, termination or discharge thereof.

  • Notation on Securities Securities authenticated and delivered after the execution of any supplemental indenture affecting such series pursuant to the provisions of this Article IX may bear a notation in form approved by the Trustee as to any matter provided for in such supplemental indenture. If the Company or the Trustee shall so determine, new Securities so modified as to conform, in the opinion of the Trustee and the Board of Directors, to any modification of this Indenture contained in any such supplemental indenture may be prepared and executed by the Company, authenticated by the Trustee or the Authenticating Agent and delivered in exchange for the Securities then outstanding.

  • Restrictive Legends and Stop Transfer Orders (a) The share certificate or certificates evidencing the shares of Stock purchased hereunder shall be endorsed with any legends that may be required by state or federal securities laws.

  • Restrictive Legends Any certificates representing the Shares shall have endorsed thereon legends substantially as follows: “THE SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR ANY STATE SECURITIES LAWS AND NEITHER THE SECURITIES NOR ANY INTEREST THEREIN MAY BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF EXCEPT PURSUANT TO AN EFFECTIVE REGISTRATION STATEMENT UNDER SUCH ACT OR SUCH LAWS OR AN EXEMPTION FROM REGISTRATION UNDER SUCH ACT AND SUCH LAWS WHICH, IN THE OPINION OF COUNSEL, IS AVAILABLE.” “THE SECURITIES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO A LOCKUP AND MAY NOT BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED DURING THE TERM OF THE LOCKUP.”

  • Notations All Loans made against the Note, the status of all amounts evidenced by the Note as constituting part of the Domestic Rate Portion or a LIBOR Portion and, in the case of any Fixed Rate Portion, the rates of interest and Interest Periods applicable to such Portions shall be recorded by the Bank on its books and records or, at its option in any instance, endorsed on a schedule to the Note and the unpaid principal balance and status, rates and Interest Periods so recorded or endorsed by the Bank shall be prima facie evidence in any court or other proceeding brought to enforce the Note of the principal amount remaining unpaid thereon, the status of the Loans evidenced thereby and the interest rates and Interest Periods applicable thereto; provided that the failure of the Bank to record any of the foregoing shall not limit or otherwise affect the obligation of the Company to repay the principal amount of the Note together with accrued interest thereon. Prior to any negotiation of the Note, the Bank shall record on a schedule thereto the status of all amounts evidenced thereby as constituting part of the Domestic Rate Portion or a LIBOR Portion and, in the case of any Fixed Rate Portion, the rates of interest and the Interest Periods applicable thereto.

  • Restricted Securities Legend The Executive Securities have not been registered under the Securities Act and, therefore, in addition to the other restrictions on Transfer contained in this Agreement, cannot be sold unless subsequently registered under the Securities Act or an exemption from such registration is then available. Any certificate evidencing Executive Securities and any certificate issued in exchange for or upon the Transfer of any Executive Securities shall be stamped or otherwise imprinted with a legend in substantially the following form: “THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE “ACT”), AND MAY NOT BE SOLD OR TRANSFERRED IN THE UNITED STATES OR ANY OF ITS TERRITORIES OR POSSESSIONS OR AREAS SUBJECT TO ITS JURISDICTION OR TO ANY PERSON WHO IS A NATIONAL, CITIZEN OR RESIDENT THEREOF OR PERSON NORMALLY RESIDENT THEREIN OR TO ANY PERSON PURCHASING FOR RESALE TO ANY SUCH PERSON IN THE ABSENCE OF AN EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR AN EXEMPTION FROM REGISTRATION THEREUNDER. IN ADDITION, THE SECURITIES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO THE PROVISIONS OF THE EXECUTIVE SUBSCRIPTION AND SECURITYHOLDER’S AGREEMENTS, AS AMENDED AND MODIFIED FROM TIME TO TIME, AMONG THE COMPANY AND CERTAIN SECURITYHOLDERS OF THE COMPANY AND MAY NOT BE SOLD, TRANSFERRED, PLEDGED, HYPOTHECATED OR OTHERWISE DISPOSED OF EXCEPT IN ACCORDANCE THEREWITH. COPIES OF THE EXECUTIVE SUBSCRIPTION AND SECURITYHOLDER’S AGREEMENTS ARE ON FILE AT THE REGISTERED OFFICE OF THE COMPANY. THE SECURITIES MAY NOT BE PUBLICLY OFFERED PURSUANT TO THE LAWS OF THE GRAND DUCHY OF LUXEMBOURG.” The Company shall imprint such legend on certificates evidencing Executive Securities. The legend set forth above shall be removed from the certificates evidencing any Securities of the Company which cease to be Executive Securities in accordance with the definition thereof.

Time is Money Join Law Insider Premium to draft better contracts faster.