Homomorphic signature method for intra-generation/inter-generation attack resistance
A homomorphic and message signature technology, applied in the field of network coding, can solve problems such as large amount of computation, reduce homomorphic signatures, and intergenerational pollution, and achieve high security performance and low computational overhead
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[0057] 1. Analyze the correctness of a homomorphic signature method against intra-generational / inter-generational attacks proposed by the present invention:
[0058] Assuming that the nodes are vulnerable to attack, the correctness of the present invention is proved below.
[0059] Proof: Let V=span{s 1 ,s 2 ,...s r }, Sign outputs the message and signature vector u i ={v i ,σ i }, It is easy to know u⊥V from formula (4.3), just prove that Verify(id,v,σ,PK)=1
[0060] because make
[0061] {v,σ}=Combine(id,α i ,v i ,σ i ), (i=1,2,...,l), from the formula (4.5) we can know
[0062]
[0063] Among them, v j and σ j represent the jth and n+j components of u respectively, v ij and σ ij represent u respectively i The jth, n+jth components,
[0064] It can be deduced from u⊥V roll out:
[0065]
[0066] Theorem proved.
[0067] Two, prove the security of the present invention:
[0068] The description of t...
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