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| Notation | Description |
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| , | The private key and the public key of the key distribution center, respectively |
| The security strength of this data aggregation system |
| The private key and the public key of the gateway, respectively |
| The private key and the public key of the th smart meter, respectively |
| The status reported by , and the corresponding signed and encrypted ciphertext |
| The set of messages to be aggregated by the gateway |
| The set of signatures to be aggregated by the gateway |
| The number of smart meters in DASG |
| The short message aggregated by the gateway |
| The short signature aggregated by the gateway |
| , , | The identities of the user, the gateway, and the smart meters, respectively |
| Private keying materials of the key distribution center in the construction based on the Chinese remainder theorem |
| Public keying materials of the key distribution center in the construction based on the Chinese remainder theorem |
| Private keying materials of the gateway in the construction based on the Chinese remainder theorem |
| Private keying materials of the in the construction based on the Chinese remainder theorem |
| Private keying materials of the key distribution center in the construction based on the Lagrange interpolation function |
| Public keying materials of the key distribution center in the construction based on the Lagrange interpolation function |
| is a hash function |
| is a hash function |
| The index for uniquely identifying mi |
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