Information on Result #619525
Linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7
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(12821, large, F128, 5) (dual of [large, large−21, 6]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(12821, large, F128, 4) (dual of [large, large−21, 5]-code) | [i] | ||
| 3 | Linear OA(12821, large, F128, 3) (dual of [large, large−21, 4]-code) | [i] | ||
| 4 | Linear OA(12822, large, F128, 6) (dual of [large, large−22, 7]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(12823, large, F128, 6) (dual of [large, large−23, 7]-code) | [i] | ||
| 6 | Linear OA(12824, large, F128, 6) (dual of [large, large−24, 7]-code) | [i] | ||
| 7 | Linear OA(12826, large, F128, 6) (dual of [large, large−26, 7]-code) | [i] | ||
| 8 | Linear OA(12827, large, F128, 6) (dual of [large, large−27, 7]-code) | [i] | ||
| 9 | Linear OA(12828, large, F128, 6) (dual of [large, large−28, 7]-code) | [i] | ||
| 10 | Linear OA(12830, large, F128, 6) (dual of [large, large−30, 7]-code) | [i] | ||
| 11 | Linear OA(12831, large, F128, 6) (dual of [large, large−31, 7]-code) | [i] | ||
| 12 | Linear OA(12832, large, F128, 6) (dual of [large, large−32, 7]-code) | [i] | ||
| 13 | Linear OA(12834, large, F128, 6) (dual of [large, large−34, 7]-code) | [i] | ||
| 14 | Linear OA(12835, large, F128, 6) (dual of [large, large−35, 7]-code) | [i] | ||
| 15 | Linear OA(12836, large, F128, 6) (dual of [large, large−36, 7]-code) | [i] | ||
| 16 | Linear OA(12838, large, F128, 6) (dual of [large, large−38, 7]-code) | [i] | ||
| 17 | Linear OA(12839, large, F128, 6) (dual of [large, large−39, 7]-code) | [i] | ||
| 18 | Linear OA(12840, large, F128, 6) (dual of [large, large−40, 7]-code) | [i] | ||
| 19 | Linear OA(12842, large, F128, 6) (dual of [large, large−42, 7]-code) | [i] | ||
| 20 | Linear OA(12843, large, F128, 6) (dual of [large, large−43, 7]-code) | [i] | ||
| 21 | Linear OA(12844, large, F128, 6) (dual of [large, large−44, 7]-code) | [i] | ||
| 22 | Linear OA(12846, large, F128, 6) (dual of [large, large−46, 7]-code) | [i] | ||
| 23 | Linear OA(12847, large, F128, 6) (dual of [large, large−47, 7]-code) | [i] | ||
| 24 | Linear OA(12848, large, F128, 6) (dual of [large, large−48, 7]-code) | [i] | ||
| 25 | Linear OA(12850, large, F128, 6) (dual of [large, large−50, 7]-code) | [i] | ||
| 26 | Linear OA(12851, large, F128, 6) (dual of [large, large−51, 7]-code) | [i] | ||
| 27 | Linear OA(12852, large, F128, 6) (dual of [large, large−52, 7]-code) | [i] | ||
| 28 | Linear OA(12854, large, F128, 6) (dual of [large, large−54, 7]-code) | [i] | ||
| 29 | Linear OA(12855, large, F128, 6) (dual of [large, large−55, 7]-code) | [i] | ||
| 30 | Linear OA(12856, large, F128, 6) (dual of [large, large−56, 7]-code) | [i] | ||
| 31 | Linear OA(12858, large, F128, 6) (dual of [large, large−58, 7]-code) | [i] | ||
| 32 | Linear OA(12859, large, F128, 6) (dual of [large, large−59, 7]-code) | [i] | ||
| 33 | Linear OA(12860, large, F128, 6) (dual of [large, large−60, 7]-code) | [i] | ||
| 34 | Linear OA(12862, large, F128, 6) (dual of [large, large−62, 7]-code) | [i] | ||
| 35 | Linear OA(12863, large, F128, 6) (dual of [large, large−63, 7]-code) | [i] | ||
| 36 | Linear OA(12864, large, F128, 6) (dual of [large, large−64, 7]-code) | [i] | ||
| 37 | Linear OA(12866, large, F128, 6) (dual of [large, large−66, 7]-code) | [i] | ||
| 38 | Linear OA(12867, large, F128, 6) (dual of [large, large−67, 7]-code) | [i] | ||
| 39 | Linear OA(12868, large, F128, 6) (dual of [large, large−68, 7]-code) | [i] | ||
| 40 | Linear OA(12870, large, F128, 6) (dual of [large, large−70, 7]-code) | [i] | ||
| 41 | Linear OA(12871, large, F128, 6) (dual of [large, large−71, 7]-code) | [i] | ||
| 42 | Linear OA(12872, large, F128, 6) (dual of [large, large−72, 7]-code) | [i] | ||
| 43 | Linear OA(12874, large, F128, 6) (dual of [large, large−74, 7]-code) | [i] | ||
| 44 | Linear OA(12875, large, F128, 6) (dual of [large, large−75, 7]-code) | [i] | ||
| 45 | Linear OA(12876, large, F128, 6) (dual of [large, large−76, 7]-code) | [i] | ||
| 46 | Linear OA(12878, large, F128, 6) (dual of [large, large−78, 7]-code) | [i] | ||
| 47 | Linear OOA(12821, 4194301, F128, 2, 6) (dual of [(4194301, 2), 8388581, 7]-NRT-code) | [i] | OOA Folding | |
| 48 | Linear OOA(12821, 2796201, F128, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code) | [i] | ||
| 49 | Linear OOA(12821, 2796201, F128, 4, 6) (dual of [(2796201, 4), 11184783, 7]-NRT-code) | [i] | OA Folding and Stacking | |
| 50 | Linear OOA(12821, 2796201, F128, 6, 6) (dual of [(2796201, 6), 16777185, 7]-NRT-code) | [i] | ||