# Lattice Reduction on Goldstein-Mayer Lattices Source: [Lattice Reduction on Goldstein-Mayer Lattices]() Collection index: [llms.txt]() Data updated: 2026-05-01T08:33:30.852Z Evaluation of Lattice Reduction performance on the Goldstein-Mayer Lattices dataset, measured by N (mean operation count), W (mean equivalent-swap count), and ∆W. A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. | Scope | Recorded value | | --- | --- | | Task | Lattice Reduction | | Dataset (including any stated split) | Goldstein-Mayer Lattices | | Metric | Mean Equivalent-Swap Count (W) | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 12 of 12 | | Coverage | All results currently returned for this benchmark | Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol. ## Metrics - [Mean Equivalent-Swap Count (W)](): Lower is better; unit: SCALAR. - [Mean Operation Count (N)](): Lower is better; unit: SCALAR. - [Delta W (∆W)](): Lower is better; unit: PERCENT. ## Recorded results | Method | Mean Equivalent-Swap Count (W) | Result date | Report paper | | --- | --- | --- | --- | | G-DLLL | 440 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 504 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 572 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 4347 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 5331 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 7791 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 16203 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 20524 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 36790 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 37398 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 51221 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 125042 | Not recorded | 69f433c955a3c32af89fd3c9 | ### G-DLLL Mean Equivalent-Swap Count (W): 440. Result ID: 69f464f947f34ce924da5a1d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"40","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### Deep-Var Mean Equivalent-Swap Count (W): 504. Result ID: 69f464f947f34ce924da5a1b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"40","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### SS-GG Mean Equivalent-Swap Count (W): 572. Result ID: 69f464f947f34ce924da5a1c. [Reporting paper]() Recorded evaluation configuration: {"Lattice dimension d":"40","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### G-DLLL Mean Equivalent-Swap Count (W): 4347. Result ID: 69f464f947f34ce924da5a20. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"80","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### Deep-Var Mean Equivalent-Swap Count (W): 5331. Result ID: 69f464f947f34ce924da5a1e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"80","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### SS-GG Mean Equivalent-Swap Count (W): 7791. Result ID: 69f464f947f34ce924da5a1f. [Reporting paper]() Recorded evaluation configuration: {"Lattice dimension d":"80","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### G-DLLL Mean Equivalent-Swap Count (W): 16203. Result ID: 69f464f947f34ce924da5a23. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"120","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### Deep-Var Mean Equivalent-Swap Count (W): 20524. Result ID: 69f464f947f34ce924da5a21. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"120","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### SS-GG Mean Equivalent-Swap Count (W): 36790. Result ID: 69f464f947f34ce924da5a22. [Reporting paper]() Recorded evaluation configuration: {"Lattice dimension d":"120","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### G-DLLL Mean Equivalent-Swap Count (W): 37398. Result ID: 69f464f947f34ce924da5a26. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"160","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### Deep-Var Mean Equivalent-Swap Count (W): 51221. Result ID: 69f464f947f34ce924da5a24. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Lattice dimension d":"160","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. ### SS-GG Mean Equivalent-Swap Count (W): 125042. Result ID: 69f464f947f34ce924da5a25. [Reporting paper]() Recorded evaluation configuration: {"Lattice dimension d":"160","delta":"0.99","Implementation":"C++"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.