Keying System Sample Clauses

Keying System.Β In the SGRS scheme, each member independently generates multiple cryptographic keys πΎπ‘Œ based upon the locally known secret set 𝑆𝑖 . A multicasting key πΎπ‘Œ is generated using the function 𝑓 (π‘Œ) = π»π‘Žπ‘ β„Ž(𝑋��𝑅(π‘Œπ‘ ), 𝐾𝐺). To ensure the secrecy of set π‘Œπ‘ , set π‘Œ is used as an index value to retrieve the valid secret nonce π‘Œπ‘  from the state set 𝑆𝑖 of members. Only those members can generate the key πΎπ‘Œ, holding the corresponding secret nonce π‘Œπ‘  of the enlisted member IDs in set π‘Œ; i.e., 𝐾�� is a valid key for all members 𝑁𝑖 if π‘Œπ‘  βŠ† 𝑆𝑖 and πΎπ‘Œ is a private key of members 𝑁𝑖 if π‘Œπ‘  = 𝑆𝑖 . This infers that the group size of |𝑋𝑁| = 𝑁 has the following number of possible multicasting keys. members of a dynamic group β€’ 𝑋𝑁 = Set of member ids of all members in dynamic group, 𝑁! π‘Š = { (π‘βˆ’1)! + 𝑁! (π‘βˆ’2)!2! + … 𝑁! (π‘βˆ’(π‘βˆ’2))!(π‘βˆ’2)! 𝑁 is odd corresponding ids of 𝑋𝑠 𝑁! (π‘βˆ’1)! + 𝑁! (π‘βˆ’2)!2! + … 𝑁! (π‘βˆ’(π‘βˆ’1))!(π‘βˆ’1)! 𝑁 is even β€’ π‘Œπ‘  = A subset of 𝑋𝑠 β€’ π‘Œ = A subset of 𝑋𝑁, which are corresponding ids of π‘Œπ‘  However, each member can participate in and/or start 𝑍 number of secure subgroup communication, where 𝑍 βŠ† π‘Š. β€’ πΎπ‘Œ = A key derived from elements of π‘Œπ‘  β€’ 𝐾𝑃 = Public key β€’ 𝐾 = Group key (π‘βˆ’1)! + π‘βˆ’1! 𝑍 = {(π‘βˆ’2)! (π‘βˆ’3)!2! (π‘βˆ’1)! + π‘βˆ’1! + … (π‘βˆ’1)! (π‘βˆ’(π‘βˆ’1))!(π‘βˆ’1)! + … (π‘βˆ’1)! + 1 𝑁 is odd 𝑁 is even 𝐺 (π‘βˆ’2)! (π‘βˆ’3)!2! (π‘βˆ’(π‘βˆ’1))!(οΏ½οΏ½βˆ’1)! β€’ 𝐸𝐴(𝐡) = Encryption of B using key ��𝐴, where 𝐾𝐴 is any valid πΎπ‘Œ, 𝐾𝑃 or 𝐾𝐺 β€’ || symbol for concatenation of terms β€’ 𝖣 symbol to explicate a portion of the term β€’ 𝑆 ⊒ π‘š indicate that 𝑆 can generate π‘š
Sample 1
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Keying System.Β Provide an extension of the existing keying system. Existing locks were manufactured by Medeco and have interchangeable cores. Provide key cabinet as specified.
Sample 1
Keying System.Β In the SGRS scheme, each member independently generates multiple cryptographic keys based upon the locally known secret set . A multicasting key is generated using the function () = β„Ž((), ). To ensure the secrecy of set , set is used as an index value to retrieve the valid secret nonce from the state set of members. Only those members can generate the key , holding the corresponding secret nonce of the enlisted member IDs in set ; i.e., is a valid key for all members if βŠ† and is a private key of members if = . This infers that the group size of || = has the following number of possible multicasting keys. members of a dynamic group β€’ = Set of member ids of all members in dynamic group, ! = { (βˆ’1)! + ! (βˆ’2)!2! + … ! (βˆ’(βˆ’2))!(βˆ’2)! is odd corresponding ids of ! (βˆ’1)! + ! (βˆ’2)!2! + … ! (βˆ’(βˆ’1))!(βˆ’1)! is even β€’ = A subset of β€’ = A subset of , which are corresponding ids of However, each member can participate in and/or start number of secure subgroup communication, where βŠ† . β€’ = A key derived from elements of β€’ = Public key β€’ = Group key (βˆ’1)! + βˆ’1! = {(βˆ’2)! (βˆ’3)!2! (βˆ’1)! + βˆ’1! + … (βˆ’1)! (βˆ’(βˆ’1))!(βˆ’1)! + … (βˆ’1)! + 1 is odd is even (βˆ’2)! (βˆ’3)!2! (βˆ’(βˆ’1))!(βˆ’1)! β€’ () = Encryption of B using key , where is any valid , or β€’ || symbol for concatenation of terms β€’ ⊩ symbol to explicate a portion of the term β€’ ⊒ indicate that can generate
Sample 1

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