Open Access
Review
Table 2.
Comparison of concretely efficient garbling schemes
| Garbling schemes | Size of one GCa | Calls to function H per gate |
Assumption | ||||
|---|---|---|---|---|---|---|---|
| (κ bits per gate) |
Garbler |
Evaluator |
|||||
| AND | XOR | AND | XOR | AND | XOR | ||
| Unoptimized textbook Yao [6, 190] | 8 | 8 | 4 | 4 | 2.5 | 2.5 | PRFb |
| Yao with point-permute [1, 191] | 4 | 4 | 4 | 4 | 1 | 1 | PRF |
| 4-to-3 GRR [192] | 3 | 3 | 4 | 4 | 1 | 1 | PRF |
| 4-to-2 GRR [193] | 2 | 2 | 4 | 4 | 1 | 1 | PRF |
| Free XOR [194] | 3 | 0 | 4 | 0 | 1 | 0 | Circular CRHF |
| Flexible XOR [200] | 2 | {0, 1, 2} | 4 | {0, 2, 4} | 1 | {0, 1, 2} | Circular CRHF |
| Half gates [195] | 2 | 0 | 4 | 0 | 2 | 0 | Circular CRHF |
| Fast 4-to-2 GRR [201] | 2 | 1 | 4 | 3 | 2 | 1.5 | PRF |
| Slicing and dicing [199] | 1.5 | 0 | ≤6 | 0 | ≤3 | 0 | Circular CRHF |
aFor GC size, a small constant additive term (i.e., 5 bits) is ignored for [199].
bWe use PRF to denote pseudo-random function.
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