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‎gmw/README.md‎

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# OR Gates
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# Performance Evaluation
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| A | B | A∨B | A⊕B | A∧B | (A⊕B)⊕(A∧B) |
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| --- | --- | --- | --- | --- | ------------ |
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| 0 | 0 | 0 | 0 | 0 | 0 |
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| 0 | 1 | 1 | 1 | 0 | 1 |
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| 1 | 0 | 1 | 1 | 0 | 1 |
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| 1 | 1 | 1 | 0 | 1 | 1 |
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# AES128-GCM Benchmarks -- 512B payload, 5B AAD
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## AES128-GCM Benchmarks -- 512B payload, 5B AAD
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| Version | 2-Party | 3-Party | 4-Party |
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| ------: | ------: | ------: | ------: |
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| Baseline | 6.784 | 10.080 | 14.046 |
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| Batched Triples | 3.202 | 7.331 | 11.248 |
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| AND Layering | 2.142 | 4.515 | 6.574 |
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``` text
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┌─────────┬──────────────┬────────┬────────┬───────┐
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│ Op │ Time │ % │ Onl │ Offl │
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├─────────┼──────────────┼────────┼────────┼───────┤
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│ Network │ │ │ 124B │ 57kB │
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│ Compile │ 1.056761733s │ 9.87% │ │ │
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│ Eval │ 9.649947523s │ 90.13% │ 89MB │ 74kB │
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│ Total │ 10.70672872s │ │ 89MB │ 132kB │
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│ ├╴Sent │ │ 50.00% │ 44MB │ 66kB │
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│ ├╴Rcvd │ │ 50.00% │ 44MB │ 66kB │
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│ ╰╴Flcd │ │ │ 105436 │ 66313 │
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└─────────┴──────────────┴────────┴────────┴───────┘
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Result[0]: 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```
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Batched beaver triple generation and AND:
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``` text
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┌─────────┬──────────────┬────────┬───────┬──────────┐
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│ Op │ Time │ % │ Onl │ Offl │
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├─────────┼──────────────┼────────┼───────┼──────────┤
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│ Network │ │ │ 95B │ 57kB │
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│ Compile │ 817.564571ms │ 12.10% │ │ │
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│ Eval │ 5.93943032s │ 87.90% │ 3MB │ 122MB │
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│ Total │ 6.757006354s │ │ 3MB │ 122MB │
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│ ├╴Sent │ │ 49.99% │ 1MB │ 61MB │
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│ ├╴Rcvd │ │ 50.01% │ 1MB │ 61MB │
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│ ╰╴Flcd │ │ │ 70294 │ 61030791 │
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└─────────┴──────────────┴────────┴───────┴──────────┘
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tripleBatch: read tcp 127.0.0.1:61490->127.0.0.1:8082: use of closed network connection
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Result[0]: 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```
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## GMW 2-Party Addition of UintN Numbers
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| Bits | Depth | AND Count |
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| ---: | ------: | --------: |
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| 32 | 5 | 249 |
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| 64 | 6 | 631 |
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| 128 | 7 | 1525 |
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| 256 | 8 | 3571 |
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| 512 | 9 | 8177 |
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| 1024 | 10 | 18415 |
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## GMW 2-Party Multiplication of UintN Numbers
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| Bits | Depth | AND Count |
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| ---: | ------: | --------: |
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| 32 | 14 | 1196 |
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| 64 | 17 | 4680 |
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| 128 | 19 | 17919 |
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| 256 | 22 | 69460 |
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| 512 | 25 | 271670 |
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| 1024 | 27 | 1069875 |
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# Implementation Notes
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## OR Gate Elimination
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| A | B | A∨B | A⊕B | A∧B | (A⊕B)⊕(A∧B) |
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| --- | --- | --- | --- | --- | ------------ |
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| 0 | 0 | 0 | 0 | 0 | 0 |
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| 0 | 1 | 1 | 1 | 0 | 1 |
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| 1 | 0 | 1 | 1 | 0 | 1 |
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| 1 | 1 | 1 | 0 | 1 | 1 |

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