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Table 1 Hybrid argument sequence with structure of ciphertexts and secret keys

From: Efficient functional encryption for inner product with simulation-based security

Hybrid argument

Ciphertexts

Secret keys

Hybrid H2

\((\boldsymbol {x},\alpha,0,\eta, 0,0)_{\mathbb {B}}\)

\((\boldsymbol {y},0,\beta,0,\theta,0)_{\mathbb {B}^{*}}\)

Hybrid H3

\((\boldsymbol {x},\alpha,0,\eta,0,{\gamma }^{\prime })_{\mathbb {B}}\)

\((\boldsymbol {y},0,\beta,0,\theta,0)_{\mathbb {B}^{*}}\)

Hybrid H4

\((\boldsymbol {x},\alpha,0,0,0,{\gamma }^{\prime })_{\mathbb {B}}\)

\((\boldsymbol {y},0,\beta,0,\theta,0)_{\mathbb {B}^{*}}\)

Hybrid H5

\((\boldsymbol {x},\alpha,0,0,0,{\gamma }^{\prime })_{\mathbb {B}}\)

\((\boldsymbol {y},0,\beta,\tau ^{\prime },\theta,0)_{\mathbb {B}^{*}}\)

Hybrid H6

\((\boldsymbol {x},\alpha,0,0,0,{\gamma }^{\prime })_{\mathbb {B}}\)

\((\boldsymbol {y},0,\beta,\tau ^{\prime },0,0)_{\mathbb {B}^{*}}\)