Information on Result #619551
Linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)
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(12833, large, F128, 8) (dual of [large, large−33, 9]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(12833, large, F128, 7) (dual of [large, large−33, 8]-code) | [i] | ||
| 3 | Linear OA(12833, large, F128, 6) (dual of [large, large−33, 7]-code) | [i] | ||
| 4 | Linear OA(12833, large, F128, 5) (dual of [large, large−33, 6]-code) | [i] | ||
| 5 | Linear OA(12833, large, F128, 4) (dual of [large, large−33, 5]-code) | [i] | ||
| 6 | Linear OA(12833, large, F128, 3) (dual of [large, large−33, 4]-code) | [i] | ||
| 7 | Linear OA(12834, large, F128, 9) (dual of [large, large−34, 10]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(12835, large, F128, 9) (dual of [large, large−35, 10]-code) | [i] | ||
| 9 | Linear OA(12836, large, F128, 9) (dual of [large, large−36, 10]-code) | [i] | ||
| 10 | Linear OA(12838, large, F128, 9) (dual of [large, large−38, 10]-code) | [i] | ||
| 11 | Linear OA(12839, large, F128, 9) (dual of [large, large−39, 10]-code) | [i] | ||
| 12 | Linear OA(12840, large, F128, 9) (dual of [large, large−40, 10]-code) | [i] | ||
| 13 | Linear OA(12842, large, F128, 9) (dual of [large, large−42, 10]-code) | [i] | ||
| 14 | Linear OA(12843, large, F128, 9) (dual of [large, large−43, 10]-code) | [i] | ||
| 15 | Linear OA(12844, large, F128, 9) (dual of [large, large−44, 10]-code) | [i] | ||
| 16 | Linear OA(12846, large, F128, 9) (dual of [large, large−46, 10]-code) | [i] | ||
| 17 | Linear OA(12847, large, F128, 9) (dual of [large, large−47, 10]-code) | [i] | ||
| 18 | Linear OA(12848, large, F128, 9) (dual of [large, large−48, 10]-code) | [i] | ||
| 19 | Linear OA(12850, large, F128, 9) (dual of [large, large−50, 10]-code) | [i] | ||
| 20 | Linear OA(12851, large, F128, 9) (dual of [large, large−51, 10]-code) | [i] | ||
| 21 | Linear OA(12852, large, F128, 9) (dual of [large, large−52, 10]-code) | [i] | ||
| 22 | Linear OA(12854, large, F128, 9) (dual of [large, large−54, 10]-code) | [i] | ||
| 23 | Linear OA(12855, large, F128, 9) (dual of [large, large−55, 10]-code) | [i] | ||
| 24 | Linear OA(12856, large, F128, 9) (dual of [large, large−56, 10]-code) | [i] | ||
| 25 | Linear OA(12858, large, F128, 9) (dual of [large, large−58, 10]-code) | [i] | ||
| 26 | Linear OA(12859, large, F128, 9) (dual of [large, large−59, 10]-code) | [i] | ||
| 27 | Linear OA(12860, large, F128, 9) (dual of [large, large−60, 10]-code) | [i] | ||
| 28 | Linear OA(12862, large, F128, 9) (dual of [large, large−62, 10]-code) | [i] | ||
| 29 | Linear OA(12863, large, F128, 9) (dual of [large, large−63, 10]-code) | [i] | ||
| 30 | Linear OA(12864, large, F128, 9) (dual of [large, large−64, 10]-code) | [i] | ||
| 31 | Linear OA(12866, large, F128, 9) (dual of [large, large−66, 10]-code) | [i] | ||
| 32 | Linear OA(12867, large, F128, 9) (dual of [large, large−67, 10]-code) | [i] | ||
| 33 | Linear OA(12868, large, F128, 9) (dual of [large, large−68, 10]-code) | [i] | ||
| 34 | Linear OA(12870, large, F128, 9) (dual of [large, large−70, 10]-code) | [i] | ||
| 35 | Linear OA(12871, large, F128, 9) (dual of [large, large−71, 10]-code) | [i] | ||
| 36 | Linear OA(12872, large, F128, 9) (dual of [large, large−72, 10]-code) | [i] | ||
| 37 | Linear OA(12874, large, F128, 9) (dual of [large, large−74, 10]-code) | [i] | ||
| 38 | Linear OA(12875, large, F128, 9) (dual of [large, large−75, 10]-code) | [i] | ||
| 39 | Linear OA(12876, large, F128, 9) (dual of [large, large−76, 10]-code) | [i] | ||
| 40 | Linear OA(12878, large, F128, 9) (dual of [large, large−78, 10]-code) | [i] | ||
| 41 | Linear OOA(12833, 4194301, F128, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code) | [i] | OOA Folding | |
| 42 | Linear OOA(12833, 2796201, F128, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code) | [i] | ||
| 43 | Linear OOA(12833, 2097150, F128, 4, 9) (dual of [(2097150, 4), 8388567, 10]-NRT-code) | [i] | ||
| 44 | Linear OOA(12833, 2097150, F128, 9, 9) (dual of [(2097150, 9), 18874317, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |