Information on Result #619555
Linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11
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(12837, large, F128, 9) (dual of [large, large−37, 10]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(12837, large, F128, 8) (dual of [large, large−37, 9]-code) | [i] | ||
| 3 | Linear OA(12837, large, F128, 7) (dual of [large, large−37, 8]-code) | [i] | ||
| 4 | Linear OA(12837, large, F128, 6) (dual of [large, large−37, 7]-code) | [i] | ||
| 5 | Linear OA(12837, large, F128, 5) (dual of [large, large−37, 6]-code) | [i] | ||
| 6 | Linear OA(12837, large, F128, 4) (dual of [large, large−37, 5]-code) | [i] | ||
| 7 | Linear OA(12837, large, F128, 3) (dual of [large, large−37, 4]-code) | [i] | ||
| 8 | Linear OA(12838, large, F128, 10) (dual of [large, large−38, 11]-code) | [i] | Code Embedding in Larger Space | |
| 9 | Linear OA(12839, large, F128, 10) (dual of [large, large−39, 11]-code) | [i] | ||
| 10 | Linear OA(12840, large, F128, 10) (dual of [large, large−40, 11]-code) | [i] | ||
| 11 | Linear OA(12842, large, F128, 10) (dual of [large, large−42, 11]-code) | [i] | ||
| 12 | Linear OA(12843, large, F128, 10) (dual of [large, large−43, 11]-code) | [i] | ||
| 13 | Linear OA(12844, large, F128, 10) (dual of [large, large−44, 11]-code) | [i] | ||
| 14 | Linear OA(12846, large, F128, 10) (dual of [large, large−46, 11]-code) | [i] | ||
| 15 | Linear OA(12847, large, F128, 10) (dual of [large, large−47, 11]-code) | [i] | ||
| 16 | Linear OA(12848, large, F128, 10) (dual of [large, large−48, 11]-code) | [i] | ||
| 17 | Linear OA(12850, large, F128, 10) (dual of [large, large−50, 11]-code) | [i] | ||
| 18 | Linear OA(12851, large, F128, 10) (dual of [large, large−51, 11]-code) | [i] | ||
| 19 | Linear OA(12852, large, F128, 10) (dual of [large, large−52, 11]-code) | [i] | ||
| 20 | Linear OA(12854, large, F128, 10) (dual of [large, large−54, 11]-code) | [i] | ||
| 21 | Linear OA(12855, large, F128, 10) (dual of [large, large−55, 11]-code) | [i] | ||
| 22 | Linear OA(12856, large, F128, 10) (dual of [large, large−56, 11]-code) | [i] | ||
| 23 | Linear OA(12858, large, F128, 10) (dual of [large, large−58, 11]-code) | [i] | ||
| 24 | Linear OA(12859, large, F128, 10) (dual of [large, large−59, 11]-code) | [i] | ||
| 25 | Linear OA(12860, large, F128, 10) (dual of [large, large−60, 11]-code) | [i] | ||
| 26 | Linear OA(12862, large, F128, 10) (dual of [large, large−62, 11]-code) | [i] | ||
| 27 | Linear OA(12863, large, F128, 10) (dual of [large, large−63, 11]-code) | [i] | ||
| 28 | Linear OA(12864, large, F128, 10) (dual of [large, large−64, 11]-code) | [i] | ||
| 29 | Linear OA(12866, large, F128, 10) (dual of [large, large−66, 11]-code) | [i] | ||
| 30 | Linear OA(12867, large, F128, 10) (dual of [large, large−67, 11]-code) | [i] | ||
| 31 | Linear OA(12868, large, F128, 10) (dual of [large, large−68, 11]-code) | [i] | ||
| 32 | Linear OA(12870, large, F128, 10) (dual of [large, large−70, 11]-code) | [i] | ||
| 33 | Linear OA(12871, large, F128, 10) (dual of [large, large−71, 11]-code) | [i] | ||
| 34 | Linear OA(12872, large, F128, 10) (dual of [large, large−72, 11]-code) | [i] | ||
| 35 | Linear OA(12874, large, F128, 10) (dual of [large, large−74, 11]-code) | [i] | ||
| 36 | Linear OA(12875, large, F128, 10) (dual of [large, large−75, 11]-code) | [i] | ||
| 37 | Linear OA(12876, large, F128, 10) (dual of [large, large−76, 11]-code) | [i] | ||
| 38 | Linear OA(12878, large, F128, 10) (dual of [large, large−78, 11]-code) | [i] | ||
| 39 | Linear OOA(12837, 4194301, F128, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code) | [i] | OOA Folding | |
| 40 | Linear OOA(12837, 2796201, F128, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code) | [i] | ||
| 41 | Linear OOA(12837, 2097150, F128, 4, 10) (dual of [(2097150, 4), 8388563, 11]-NRT-code) | [i] | ||
| 42 | Linear OOA(12837, 1677720, F128, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code) | [i] | OA Folding and Stacking | |