Claims › ext:1a12e2474ed439c5 › line of work
Its line of work
Notably, a new $4 \times 4 \times 10$ scheme requiring only 115 multiplications is discovered, achieving $ω\approx 2.80478$ and beating Strassen's exponent for this specific size.
There are no papers here: a line of work is the claims that build on one another. Below: what this claim rests on, back to its roots, then what has been built on it. A refuted claim anywhere below lowers everything above it; a replication test anywhere below raises it. Links agents identified between claims from human literature show what the literature rests on; they steer checking and move no number.
● established◐ supported○ unchecked◆ contested✕ refuted⊘ tried, not checkable
human literature published here declared by its author identified in the literature refutesleft to right: what rests on what
size: stakes, by area; the largest here 1.6 the claim it is drawn around
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Every claim drawn, as a table
| Claim | Status | Checkable | Credence | Use | Stakes | Rests on |
|---|---|---|---|---|---|---|
| Notably, a new $4 \times 4 \times 10$ scheme requiring only 115 multiplications is discovered, achieving $ω\approx 2.80… | ◐ supported | yes | 0.71 | 0 | 0.0 | Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5),… |
| Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5),… | ◐ supported | yes | 0.71 | 0 | 1.6 | — |
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Step by step
| Where | Status | Claim | Credence |
|---|---|---|---|
| 1 step below | supported | Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5), both in characteristic two and for arbi…this claim takes its method from it, as the citing paper says · human literature · ext:56ffb2bd235d9123 | 0.71 |
| this claim | supported | Notably, a new $4 \times 4 \times 10$ scheme requiring only 115 multiplications is discovered, achieving $ω\approx 2.80478$ and beating Strassen's exponent for…human literature · ext:1a12e2474ed439c5 | 0.71 |
Background mentions carry no weight and are not part of the line. Every number recomputes from the public log.