Claims Analysis
Total Claims: 9
Claim 1
Independent Claim
187 words
A method for operating a digital information processing system that distributes encryption information from an authorization processor to a plurality of user processors, the method comprising processor executed steps of: at the authorization processor: selecting a resilience threshold t, and a number N; selecting a generator g of a multiplicative subgroup R of Z N * , wherein Z N * is a set of numbers less than and relatively prime to N and R consists of powers of g mod N; selecting random numbers k and b 1 , . . . , b t in the range [2:|R|], where |R| denotes the size of R and where the random numbers are relatively prime to |R|; generating g j =g b .sbsp.j mod N for 1≦j≦t; distributing to the user processors encrypted information with g j ; and receiving a value n from a user processor, and returning to the user processor a signet a, wherein: a=k-b.sub.1 n- . . . -b.sub.t n.sup.t mod |R|; whereby the signet a is for enabling the user processor to generate a decryption key K to decrypt the encrypted information.
Claim 2
Independent Claim
187 words
A method for operating a digital information processing system that distributes encryption information from an authorization processor to a plurality of user processors, the method comprising processor executed steps of: at the authorization processor: selecting a resilience threshold t, and a number N; selecting a generator g of a multiplicative subgroup R of Z N * , wherein Z N * is a set of numbers less than and relatively prime to N and R consists of powers of g mod N; selecting random numbers k and b 1 , . . . , b t in the range [2:|R|], where |R| denotes the size of R and where the random numbers are relatively prime to |R|; generating g j =g b .sbsp.j mod N for 1≦j≦t; distributing to the user processors encrypted information with g j ; and receiving a value n from a user processor, and returning to the user processor a signet a, wherein: a=k-b.sub.1 n- . . . -b.sub.t n.sup.t mod |R|; whereby the signet a is for enabling the user processor to generate a decryption key K to decrypt the encrypted information.
Claim 3
Dependent Claim
47 words
The method of claim 1, also including: at the user processor: receiving the encrypted information with g i ; sending n to the authorization processor; receiving the signet a; generating K using: K=g.sup.a g.sub.1.sup.n . . . g.sub.t.sup.n.spsp.t mod N; and, decrypting the encrypted information using K.
Claim 4
Independent Claim
232 words
A method for operating a digital information processing system that distributes encryption information from an authorization processor to a plurality of user processors, the method comprising processor executed steps of: at the authorization processor: selecting a resilience threshold t, a security parameter s, and a number N; selecting a generator g of a multiplicative subgroup R of Z N * , wherein Z N * is a set of numbers less than and relatively prime to N, and R consists of powers of g mod N; selecting random numbers k and b 1 , . . . , b 2t in the range [2:|R|], where |R| denotes the size of R and where the random numbers are relatively prime to |R|; generating additional generators g j , wherein g j =g b .sbsp.j, and 1≦j≦2t; distributing to the user processors encrypted information with g 1 , . . . g 2t ; receiving a value n from a user processor; in response to n: randomly selecting an ordered list of s indices i 1 , . . . , i s , where 1≦i j ≦m and m=2t; and returning to the user processor a signet a, wherein: a=(k-b.sub.i.sbsb.1 n-. . . -b.sub.i.sbsb.s n.sup.s) mod |R|, together with the ordered list whereby, the signet a is for enabling the user processor to generate a decryption key k to decrypt the encrypted information.
Claim 5
Independent Claim
232 words
A method for operating a digital information processing system that distributes encryption information from an authorization processor to a plurality of user processors, the method comprising processor executed steps of: at the authorization processor: selecting a resilience threshold t, a security parameter s, and a number N; selecting a generator g of a multiplicative subgroup R of Z N * , wherein Z N * is a set of numbers less than and relatively prime to N, and R consists of powers of g mod N; selecting random numbers k and b 1 , . . . , b 2t in the range [2:|R|], where |R| denotes the size of R and where the random numbers are relatively prime to |R|; generating additional generators g j , wherein g j =g b .sbsp.j, and 1≦j≦2t; distributing to the user processors encrypted information with g 1 , . . . g 2t ; receiving a value n from a user processor; in response to n: randomly selecting an ordered list of s indices i 1 , . . . , i s , where 1≦i j ≦m and m=2t; and returning to the user processor a signet a, wherein: a=(k-b.sub.i.sbsb.1 n-. . . -b.sub.i.sbsb.s n.sup.s) mod |R|, together with the ordered list whereby, the signet a is for enabling the user processor to generate a decryption key k to decrypt the encrypted information.
Claim 6
Dependent Claim
58 words
The method of claim 3, also including: at the user processor: receiving the encrypted information with g 1 , . . . , g 2t ; sending n to the authorization processor; receiving the signet a and the ordered list; generating K using: K=g.sup.a g.sub.i.sbsb.1.sup.n . . . g.sub.i.sbsb.s.sup.n.spsp.s mod N and, decrypting the encrypted information using K.
Claim 7
Independent Claim
278 words
A method for operating a digital information processing system that distributes encryption information from an authorization processor to a plurality of user processors, the method comprising processor executed steps of: at the authorization processor: selecting a resilience threshold t, a security parameter s, a number N, and a number m, where m=2t and is evenly divisible by s; selecting a generator g of a multiplicative subgroup of R of Z N * , wherein Z N * is a set of numbers less than and relatively prime to N, and R consists of the powers of g mod N; selecting random numbers k and b 1 , . . . , b 2t in the range [2:|R|], where |R| denotes the size of R and where the random numbers are relatively prime to |R|; generating additional generators g 1 , . . . , g m , where g i =g b .sbsp.i and 1≦i≦2t; partitioning the generators g 1 , . . . , g m into m/s pairwise disjoint sets S 1 , . . . , S m/s ; receiving a value n from a user processor; in response to n: randomly selecting an index j in the range [1:m/s]; using the set S j containing generators g j1 , . . . , g js and the random numbers b j1 , . . . , b js that define those generators, returning to the user processor a signet a, wherein: a=k-b.sub.j1 n- . . . -b.sub.js n.sup.s, together with the index j whereby the signet a is for enabling the user processor to generate a decryption key K to decrypt the encrypted information.
Claim 8
Independent Claim
278 words
A method for operating a digital information processing system that distributes encryption information from an authorization processor to a plurality of user processors, the method comprising processor executed steps of: at the authorization processor: selecting a resilience threshold t, a security parameter s, a number N, and a number m, where m=2t and is evenly divisible by s; selecting a generator g of a multiplicative subgroup of R of Z N * , wherein Z N * is a set of numbers less than and relatively prime to N, and R consists of the powers of g mod N; selecting random numbers k and b 1 , . . . , b 2t in the range [2:|R|], where |R| denotes the size of R and where the random numbers are relatively prime to |R|; generating additional generators g 1 , . . . , g m , where g i =g b .sbsp.i and 1≦i≦2t; partitioning the generators g 1 , . . . , g m into m/s pairwise disjoint sets S 1 , . . . , S m/s ; receiving a value n from a user processor; in response to n: randomly selecting an index j in the range [1:m/s]; using the set S j containing generators g j1 , . . . , g js and the random numbers b j1 , . . . , b js that define those generators, returning to the user processor a signet a, wherein: a=k-b.sub.j1 n- . . . -b.sub.js n.sup.s, together with the index j whereby the signet a is for enabling the user processor to generate a decryption key K to decrypt the encrypted information.
Claim 9
Dependent Claim
59 words
The method of claim 5, also including: at the user processor: receiving the encrypted information with g, g 1 , . . . , g m ; sending n to the authorization processor; receiving the signet a and the index j; generating K using: K=g.sup.a g.sub.j1.sup.n . . . g.sub.j1.sup.n mod N; and, decrypting the encrypted information using K.