Open Access

Table 1.

Variable definition and explanation

Variable Explanation
N N = {1, 2, …, n}
VCSet Set of n VCs to be combined into a VP, V C S e t = { VC j } for all j N $ VCSet\mathrm{=}\left\{ {VC}_{j} \right\}\mathrm{\thinspace for\thinspace all\thinspace }j\mathrm{\in }N $, where VCj = (Aj,Cj,kj,Validj,mj)
VCIPKSet Set of VC issuer public keys, V C I P K S e t = { VCIPK j } for all j N where V C I P K j = $ VCIPKSet\mathrm{=}\left\{ {VCIPK}_{j} \right\}\mathrm{\thinspace for\thinspace all\thinspace }j\mathrm{\in }N{\thinspace \mathrm{where}\thinspace VCIPK}_{j}= $
( X ¯ j , AttrNames j , HATTR j , Δ j , VCRList j ) $ (\bar{X}_{j}\mathrm{,}{AttrNames}_{j}\mathrm{,}{HATTR}_{j}\mathrm{,}\mathrm{\Delta }_{j}\mathrm{,}{VCRList}_{j}) $
dSet Set of DID keys, d S e t = { d vcj } for all j N . Let VCDIDs j $ dSet\mathrm{=}\left\{ d_{vcj} \right\}\mathrm{\thinspace for\thinspace all\thinspace }j\mathrm{\in }N.\mathrm{\thinspace Let}\thinspace {VCDIDs}_{j} $ be the DIDs used when applying for the j-th
VC, then VCDIDs j = DSK msk · DRand d vcj $ \mathrm{\thinspace }{VCDIDs}_{j}\mathrm{=}{DSK}^{msk}\cdot {DRand}^{d_{vcj}} $
mj,i The i-th attribute of the j-th VC
DIj The set of attribute indices to be disclosed for the j-th VC
NDIj The set of attribute indices not to be disclosed for the j-th VC
NDI N D I = { NDI j } for all j N $ NDI\mathrm{=}\left\{ {NDI}_{j} \right\}\mathrm{\thinspace for\thinspace all\thinspace }j\mathrm{\in }N $
VPDIDs The DID used for presenting the VP, VPDIDs=DSKmsk ⋅ DRanddvp

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