A Homomorphic Signature Method Against Intra-Generation/Inter-Generation Attacks
A homomorphic and message signature technology, applied in the field of network coding, can solve the problems of large amount of calculation, intergenerational pollution, and inability to realize instant transmission of data packets, etc., and achieve the effect of low computing cost and high security performance
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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 safety of the present invention:
[0068] The description of the...
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