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Is linear sketching over F2 optimal for one-way XOR communication?
Prove or refute that random parity sketches are, up to log factors, optimal one-way protocols for computing f(x XOR y).
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| 1 | +{ | |
| 2 | + "domain": "computer-science", | |
| 3 | + "topics": [ | |
| 4 | + "algorithms-complexity" | |
| 5 | + ], | |
| 6 | + "type": "proof", | |
| 7 | + "source": { | |
| 8 | + "key": "sublinear", | |
| 9 | + "name": "Sublinear.info", | |
| 10 | + "url": "https://sublinear.info/78", | |
| 11 | + "id": "78", | |
| 12 | + "curator": "Sublinear.info editors", | |
| 13 | + "poser": "Grigory Yaroslavtsev", | |
| 14 | + "status": "open", | |
| 15 | + "as_of": "2026-10-20", | |
| 16 | + "catalog": "0521c19bbd38" | |
| 17 | + } | |
| 18 | +} | |