Table 2 Symbols.

From: Quantum key-based medical privacy protection and sharing scheme on blockchain

Symbols

Meaning

\({H_1}\), \({H_2}\), \({H_3}\)

Safe hash function

\({T_n}(x)\)

Chebyshev mapping \(n \in [2, + \infty )\)

x

Chebyshev polynomial seed

\(\oplus\)

Xor operation

sk

TA’s private key

||

Cascade operation

\({\mathbb {G}_1}\), \(\mathbb {G}_{2}\)

Cyclic addition group and cyclic multiplication group

P

A generator of the group \({\mathbb {G}_1}\)

\(I{D_i}\)

ID of user i

\(Prove(*,*)/verity(*,*)\)

The proof generation and verification functions of the Groth16 protocol

\({E_{key}}(*)/{D_{key}}(*)\)

Symmetric Encryption/Decryption algorithm