Information on Result #625161
Linear OA(1287, large, F128, 3) (dual of [large, large−7, 4]-code), using product of projective cap with 1282-ovoid cap in AG(3, 128) based on linear OA(1284, 16385, F128, 3) (dual of [16385, 16381, 4]-code or 16385-cap in PG(3,128)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1288, large, F128, 3) (dual of [large, large−8, 4]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(12810, large, F128, 3) (dual of [large, large−10, 4]-code) | [i] | ||
| 3 | Linear OA(12811, large, F128, 3) (dual of [large, large−11, 4]-code) | [i] | ||
| 4 | Linear OA(12812, large, F128, 3) (dual of [large, large−12, 4]-code) | [i] | ||
| 5 | Linear OA(12814, large, F128, 3) (dual of [large, large−14, 4]-code) | [i] | ||
| 6 | Linear OA(12815, large, F128, 3) (dual of [large, large−15, 4]-code) | [i] | ||
| 7 | Linear OA(12816, large, F128, 3) (dual of [large, large−16, 4]-code) | [i] | ||
| 8 | Linear OA(12818, large, F128, 3) (dual of [large, large−18, 4]-code) | [i] | ||
| 9 | Linear OA(12819, large, F128, 3) (dual of [large, large−19, 4]-code) | [i] | ||
| 10 | Linear OA(12820, large, F128, 3) (dual of [large, large−20, 4]-code) | [i] | ||
| 11 | Linear OA(12822, large, F128, 3) (dual of [large, large−22, 4]-code) | [i] | ||
| 12 | Linear OA(12823, large, F128, 3) (dual of [large, large−23, 4]-code) | [i] | ||
| 13 | Linear OA(12824, large, F128, 3) (dual of [large, large−24, 4]-code) | [i] | ||
| 14 | Linear OA(12826, large, F128, 3) (dual of [large, large−26, 4]-code) | [i] | ||
| 15 | Linear OA(12827, large, F128, 3) (dual of [large, large−27, 4]-code) | [i] | ||
| 16 | Linear OA(12828, large, F128, 3) (dual of [large, large−28, 4]-code) | [i] | ||
| 17 | Linear OA(12830, large, F128, 3) (dual of [large, large−30, 4]-code) | [i] | ||
| 18 | Linear OA(12831, large, F128, 3) (dual of [large, large−31, 4]-code) | [i] | ||
| 19 | Linear OA(12832, large, F128, 3) (dual of [large, large−32, 4]-code) | [i] | ||
| 20 | Linear OA(12834, large, F128, 3) (dual of [large, large−34, 4]-code) | [i] | ||
| 21 | Linear OA(12835, large, F128, 3) (dual of [large, large−35, 4]-code) | [i] | ||
| 22 | Linear OA(12836, large, F128, 3) (dual of [large, large−36, 4]-code) | [i] | ||
| 23 | Linear OA(12838, large, F128, 3) (dual of [large, large−38, 4]-code) | [i] | ||
| 24 | Linear OA(12839, large, F128, 3) (dual of [large, large−39, 4]-code) | [i] | ||
| 25 | Linear OA(12840, large, F128, 3) (dual of [large, large−40, 4]-code) | [i] | ||
| 26 | Linear OA(12842, large, F128, 3) (dual of [large, large−42, 4]-code) | [i] | ||
| 27 | Linear OA(12843, large, F128, 3) (dual of [large, large−43, 4]-code) | [i] | ||
| 28 | Linear OA(12844, large, F128, 3) (dual of [large, large−44, 4]-code) | [i] | ||
| 29 | Linear OA(12846, large, F128, 3) (dual of [large, large−46, 4]-code) | [i] | ||
| 30 | Linear OA(12847, large, F128, 3) (dual of [large, large−47, 4]-code) | [i] | ||
| 31 | Linear OA(12848, large, F128, 3) (dual of [large, large−48, 4]-code) | [i] | ||
| 32 | Linear OA(12850, large, F128, 3) (dual of [large, large−50, 4]-code) | [i] | ||
| 33 | Linear OA(12851, large, F128, 3) (dual of [large, large−51, 4]-code) | [i] | ||
| 34 | Linear OA(12852, large, F128, 3) (dual of [large, large−52, 4]-code) | [i] | ||
| 35 | Linear OA(12854, large, F128, 3) (dual of [large, large−54, 4]-code) | [i] | ||
| 36 | Linear OA(12855, large, F128, 3) (dual of [large, large−55, 4]-code) | [i] | ||
| 37 | Linear OA(12856, large, F128, 3) (dual of [large, large−56, 4]-code) | [i] | ||
| 38 | Linear OA(12858, large, F128, 3) (dual of [large, large−58, 4]-code) | [i] | ||
| 39 | Linear OA(12859, large, F128, 3) (dual of [large, large−59, 4]-code) | [i] | ||
| 40 | Linear OA(12860, large, F128, 3) (dual of [large, large−60, 4]-code) | [i] | ||
| 41 | Linear OA(12862, large, F128, 3) (dual of [large, large−62, 4]-code) | [i] | ||
| 42 | Linear OA(12863, large, F128, 3) (dual of [large, large−63, 4]-code) | [i] | ||
| 43 | Linear OA(12864, large, F128, 3) (dual of [large, large−64, 4]-code) | [i] | ||
| 44 | Linear OA(12866, large, F128, 3) (dual of [large, large−66, 4]-code) | [i] | ||
| 45 | Linear OA(12867, large, F128, 3) (dual of [large, large−67, 4]-code) | [i] | ||
| 46 | Linear OA(12868, large, F128, 3) (dual of [large, large−68, 4]-code) | [i] | ||
| 47 | Linear OA(12870, large, F128, 3) (dual of [large, large−70, 4]-code) | [i] | ||
| 48 | Linear OA(12871, large, F128, 3) (dual of [large, large−71, 4]-code) | [i] | ||
| 49 | Linear OA(12872, large, F128, 3) (dual of [large, large−72, 4]-code) | [i] | ||
| 50 | Linear OA(12874, large, F128, 3) (dual of [large, large−74, 4]-code) | [i] | ||
| 51 | Linear OA(12875, large, F128, 3) (dual of [large, large−75, 4]-code) | [i] | ||
| 52 | Linear OA(12876, large, F128, 3) (dual of [large, large−76, 4]-code) | [i] | ||
| 53 | Linear OA(12878, large, F128, 3) (dual of [large, large−78, 4]-code) | [i] | ||
| 54 | Linear OOA(1287, large, F128, 2, 3) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 55 | Linear OOA(1287, 8388602, F128, 3, 3) (dual of [(8388602, 3), 25165799, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |