Table 2 Table: symbols and Meanings.

From: Quantum-resilient and adaptive multi-region data aggregation for IoMT using zero-knowledge proofs and edge intelligence

Symbol

Meaning

\(\:D=\left\{{D}_{1},\:{D}_{2},\dots\:\dots\:.{D}_{n}\right\}\)

Set of IoMT devices

\(\:E=\left\{{E}_{1},\:{E}_{2},\dots\:\dots\:.{E}_{m}\right\}\)

Set of Edge nodes

\(\:C\)

Cloud node

\(\:n\)

Number of IoMT devices

\(\:m\)

Number of edge nodes

\(\:{\:x}_{i}\left(t\right)\in\:{\mathbb{R}}^{d}\)

Health data vector from device \(\:{D}_{i}\) at time \(\:t\)

\(\:{B}_{i}\)

Local buffer of device \(\:{D}_{i}\)

\(\:k\)

Buffer size

\(\:\varDelta\:t\)

Sampling interval

\(\:{t}_{j}\)

Timestamp of j-th sample

\(\:{pk}_{i}\), \(\:{sk}_{i}\)

PQC key pair for edge node \(\:{D}_{i}\)

\(\:{pk}_{j}\), \(\:{sk}_{j}\)

PQC key pair for edge node \(\:{E}_{j}\)

\(\:{pk}_{C}\), \(\:{sk}_{C}\)

Master key pair for cloud \(\:C\)

\(\:\lambda\:\)

Security parameter

\(\:q\)

Prime modulus

\(\:n\)

Polynomial degree

\(\:\chi\:\)

Error distribution

\(\:p\)

Plaintext modulus

\(\:{\:\pi\:}_{i}\left(t\right)\)

Zero-knowledge proof (ZKP)

\(\:stmt\)

Statement being proven

\(\:{d}_{i,j}\)

Distance between \(\:{D}_{i}\) and \(\:{E}_{j}\)

\(\:\theta\:\)

Proximity threshold

\(\:\eta\:\)

Learning rate

\(\:\alpha\:\), \(\:\beta\:\)

Energy coefficients

\(\:\delta\:\)

Threshold for key update

\(\:{\mu\:}_{i}\)

Centroid of cluster \(\:{C}_{j}\)