Information on Result #619596
Linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(12857, large, F128, 14) (dual of [large, large−57, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(12857, large, F128, 13) (dual of [large, large−57, 14]-code) | [i] | ||
| 3 | Linear OA(12857, large, F128, 12) (dual of [large, large−57, 13]-code) | [i] | ||
| 4 | Linear OA(12857, large, F128, 11) (dual of [large, large−57, 12]-code) | [i] | ||
| 5 | Linear OA(12857, large, F128, 10) (dual of [large, large−57, 11]-code) | [i] | ||
| 6 | Linear OA(12857, large, F128, 9) (dual of [large, large−57, 10]-code) | [i] | ||
| 7 | Linear OA(12857, large, F128, 8) (dual of [large, large−57, 9]-code) | [i] | ||
| 8 | Linear OA(12857, large, F128, 7) (dual of [large, large−57, 8]-code) | [i] | ||
| 9 | Linear OA(12857, large, F128, 6) (dual of [large, large−57, 7]-code) | [i] | ||
| 10 | Linear OA(12857, large, F128, 5) (dual of [large, large−57, 6]-code) | [i] | ||
| 11 | Linear OA(12857, large, F128, 4) (dual of [large, large−57, 5]-code) | [i] | ||
| 12 | Linear OA(12857, large, F128, 3) (dual of [large, large−57, 4]-code) | [i] | ||
| 13 | Linear OA(12858, large, F128, 15) (dual of [large, large−58, 16]-code) | [i] | Code Embedding in Larger Space | |
| 14 | Linear OA(12859, large, F128, 15) (dual of [large, large−59, 16]-code) | [i] | ||
| 15 | Linear OA(12860, large, F128, 15) (dual of [large, large−60, 16]-code) | [i] | ||
| 16 | Linear OA(12862, large, F128, 15) (dual of [large, large−62, 16]-code) | [i] | ||
| 17 | Linear OA(12863, large, F128, 15) (dual of [large, large−63, 16]-code) | [i] | ||
| 18 | Linear OA(12864, large, F128, 15) (dual of [large, large−64, 16]-code) | [i] | ||
| 19 | Linear OA(12866, large, F128, 15) (dual of [large, large−66, 16]-code) | [i] | ||
| 20 | Linear OA(12867, large, F128, 15) (dual of [large, large−67, 16]-code) | [i] | ||
| 21 | Linear OA(12868, large, F128, 15) (dual of [large, large−68, 16]-code) | [i] | ||
| 22 | Linear OA(12870, large, F128, 15) (dual of [large, large−70, 16]-code) | [i] | ||
| 23 | Linear OA(12871, large, F128, 15) (dual of [large, large−71, 16]-code) | [i] | ||
| 24 | Linear OA(12872, large, F128, 15) (dual of [large, large−72, 16]-code) | [i] | ||
| 25 | Linear OA(12874, large, F128, 15) (dual of [large, large−74, 16]-code) | [i] | ||
| 26 | Linear OA(12875, large, F128, 15) (dual of [large, large−75, 16]-code) | [i] | ||
| 27 | Linear OA(12876, large, F128, 15) (dual of [large, large−76, 16]-code) | [i] | ||
| 28 | Linear OA(12878, large, F128, 15) (dual of [large, large−78, 16]-code) | [i] | ||
| 29 | Linear OOA(12857, 4194301, F128, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(12857, 2796201, F128, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(12857, 2097150, F128, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(12857, 1198371, F128, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |