Verification of data items in data processing systems
A data processing system, data item technology, applied in the direction of digital transmission system, transmission system, user identity/authority verification, etc., can solve problems such as unavailability
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[0029] Before describing a data processing system embodying the invention, various assumptions and cryptographic tools used as building blocks to be used in the operation of the described exemplary embodiments are first presented.
[0030] If for every integer c, there exists an integer K such that |υ(k)|K c , then the function υ can be ignored. A problem is considered severe (or intractable) if no probabilistic polynomial-time (p.p.t) algorithm exists for the size of the input to solve it.
[0031] bilinear pairing Suppose G and G T is a group of prime order q, mapping e: G×G→G T The following properties must be met:
[0032] (a) Bilinear: If e(a x , b y )t=e(a,b) x,y , then map e: G×G→G T is bilinear
[0033] (b) Non-degeneracy: For all generators g, h ∈ G, e(g, h), generate G T ;
[0034] (c) Effectiveness: There is an effective algorithm BMGen(1 k ) output (q, G, G T , e, g) to generate a bilinear map, and for any a, b ∈ G, there exists an efficient algorith...
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