Fig 1.
The fuzzy extractor scheme.
Fig 2.
Integer lattice, generating space sets based on discrete basis vectors.
Fig 3.
Private key security management scheme.
Fig 4.
Stable distinguishable description of the sub-extraction process.
Fig 5.
Distribution of pixel coordinates of facial (left) and fingerprint (right) feature points.
Fig 6.
Distribution of feature and control points, with feature points in blue and calculated control points in red.
Fig 7.
Private key encryption and private key recovery process.
Table 1.
Security properties comparison.
Table 2.
Face feature point types.
Fig 8.
Face image extracted based on HOG algorithm.
Table 3.
Face detection success rate of HOG algorithm.
Fig 9.
Distribution of all feature points.
a) and b) represent the changes of feature points under different expressions of the same person.
Fig 10.
Characteristic point distribution after screening.
Fig 11.
Hamming distance error before and after screening feature points.
Table 4.
Hamming distance error before and after screening feature points.
Fig 12.
Hamming distance of the descriptor between four sets of experimental data.
Table 5.
Hamming distance of the descriptor between four sets of experimental data.
Fig 13.
fingerprints of 6 different people.
Fig 14.
Fingerprint image feature point extraction results.
fingerprints of 6 different people.
Fig 15.
Fingerprint description sub-Hamming distance before and after screening.
Table 6.
Fingerprint description sub-Hamming distance before and after screening feature points.
Fig 16.
The sub-Hamming distance between different biometric fingerprints.
Table 7.
The sub-Hamming distance between different biometric fingerprints.
Table 8.
Face descriptor fuzzy extraction experiment.
Table 9.
Equipment used in the experiment.
Table 10.
The Ethereum genesis block parameters.
Fig 17.
Schematic diagram of a private blockchain system based on Ethereum.
Table 11.
Public-private key pair generated baesd on LWE.
Table 12.
CRT-Based secret fragment.
Table 13.
Encrypt and salt the secret shard.
Table 14.
CRT-Based private key recovery.