# Lattice Reduction on q-ary Lattices Source: [Lattice Reduction on q-ary Lattices]() Collection index: [llms.txt]() Data updated: 2026-05-01T08:33:30.814Z Evaluation of Lattice Reduction performance on the q-ary Lattices dataset, measured by mean operation count (N), mean equivalent-swap count (W), and relative change in W (∆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) | q-ary 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. - [Relative Change in W (∆W)](): Lower is better; unit: PERCENT. ## Recorded results | Method | Mean Equivalent-Swap Count (W) | Result date | Report paper | | --- | --- | --- | --- | | G-DLLL | 3086 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 3298 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 3432 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 14982 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 18100 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 20561 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 36603 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 46820 | Not recorded | 69f433c955a3c32af89fd3c9 | | G-DLLL | 63581 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 66993 | Not recorded | 69f433c955a3c32af89fd3c9 | | Deep-Var | 86423 | Not recorded | 69f433c955a3c32af89fd3c9 | | SS-GG | 169756 | Not recorded | 69f433c955a3c32af89fd3c9 | ### G-DLLL Mean Equivalent-Swap Count (W): 3086. Result ID: 69f464f947f34ce924da5a11. [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): 3298. Result ID: 69f464f947f34ce924da5a10. [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): 3432. Result ID: 69f464f947f34ce924da5a0f. [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): 14982. Result ID: 69f464f947f34ce924da5a14. [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): 18100. Result ID: 69f464f947f34ce924da5a12. [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): 20561. Result ID: 69f464f947f34ce924da5a13. [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): 36603. Result ID: 69f464f947f34ce924da5a17. [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): 46820. Result ID: 69f464f947f34ce924da5a15. [Reporting paper]() [Method origin 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): 63581. Result ID: 69f464f947f34ce924da5a1a. [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): 66993. Result ID: 69f464f947f34ce924da5a16. [Reporting 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): 86423. Result ID: 69f464f947f34ce924da5a18. [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): 169756. Result ID: 69f464f947f34ce924da5a19. [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.