# Lattice Reduction on Gaussian Lattices Source: [Lattice Reduction on Gaussian Lattices]() Collection index: [llms.txt]() Data updated: 2026-05-01T08:33:30.775Z Evaluation of Lattice Reduction performance on the Gaussian 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) | Gaussian 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 | 692 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 736 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 743 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 2272 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 2334 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 2360 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 4981 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 5061 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 5070 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 9078 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 9155 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 9232 | Not recorded | 69f433c955a3c32af89fd3c9 | ### G-DLLL Mean Equivalent-Swap Count (W): 692. Result ID: 69f464f947f34ce924da5a05. [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): 736. Result ID: 69f464f947f34ce924da5a04. [Reporting 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): 743. Result ID: 69f464f947f34ce924da5a03. [Reporting paper]() [Method origin 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): 2272. Result ID: 69f464f947f34ce924da5a08. [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): 2334. Result ID: 69f464f947f34ce924da5a06. [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): 2360. Result ID: 69f464f947f34ce924da5a07. [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): 4981. Result ID: 69f464f947f34ce924da5a0b. [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): 5061. Result ID: 69f464f947f34ce924da5a09. [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): 5070. Result ID: 69f464f947f34ce924da5a0a. [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): 9078. Result ID: 69f464f947f34ce924da5a0e. [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): 9155. Result ID: 69f464f947f34ce924da5a0c. [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): 9232. Result ID: 69f464f947f34ce924da5a0d. [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.