Table 2 Comparison of IB-DRE Schemes from Lattices
# of | # of | # of | Standard | |||
|---|---|---|---|---|---|---|
Schemes | \(\mathbb {Z}_{q}^{n\times m}\) matrix | \(\mathbb {Z}_{q}^{m\times m}\) matrix | \(\mathbb {Z}_{q}^{m}\) vector | Assumption | Security | model |
|PP|∗ | |Msk|∗ | |c|∗ | ? | |||
WB’10 (Wang and Bi 2010) | 1 | 1 | 3 | LWE | IND-ID-CPA | ROM |
Ours: | ||||||
IB−DREABB | \(\mathcal {O}(n)\) | 1 | 3 | LWE | IND-ID-CPA | \(\checkmark \) |
IB−DREZCZ | \(\mathcal {O}(\log {Q})\) | 1 | 3 | LWE | IND-ID-CPA | \(\checkmark \) |
IB−DREYam | \(\omega (\sqrt {n})\) | 1 | 3 | LWE | IND-ID-CPA | \(\checkmark \) |
IB−DREMAH | ω(log2n) | 1 | 3 | LWE | IND-ID-CPA | \(\checkmark \) |
IB−DREAFF | ω(logn) | 1 | 3 | LWE | IND-ID-CPA | \(\checkmark \) |