Table 2 Time and space complexity analysis for the proposed approach
From: Efficient verification of parallel matrix multiplication in public cloud: the MapReduce case
Stage | Storage | Public cloud computations | Private cloud computations | Data transmissions |
|---|---|---|---|---|
Initialization | O(N) | O(N) | – | O(1) |
Sampling | \(O(T_s)\) | – | \(O(T_s)\) | \(O(T_s)\) |
Proof construction | – | \(O(T_s\log N)\) | – | \(O(T_s\log N)\) |
Proof verification | – | – | \(O(T_s\log N)\) | – |