Information on Result #1014201
Linear OOA(828, large, F8, 3, 4), using (u, u+v)-construction based on
- linear OOA(82, 9, F8, 3, 2) (dual of [(9, 3), 25, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;25,8) [i]
- linear OOA(826, 8388602, F8, 3, 4) (dual of [(8388602, 3), 25165780, 5]-NRT-code), using
- trace code [i] based on linear OOA(6413, 4194301, F64, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(6413, large, F64, 4) (dual of [large, large−13, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(6413, large, F64, 4) (dual of [large, large−13, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code), using
- trace code [i] based on linear OOA(6413, 4194301, F64, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), 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 OOA(828, large, F8, 3, 3) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(831, large, F8, 3, 4) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(834, large, F8, 3, 4) | [i] | ||
| 4 | Linear OOA(837, large, F8, 3, 4) | [i] | ||
| 5 | Linear OOA(840, large, F8, 3, 4) | [i] | ||
| 6 | Linear OOA(843, large, F8, 3, 4) | [i] | ||
| 7 | Linear OOA(846, large, F8, 3, 4) | [i] | ||
| 8 | Linear OOA(849, large, F8, 3, 4) | [i] | ||
| 9 | Linear OOA(852, large, F8, 3, 4) | [i] | ||
| 10 | Linear OOA(855, large, F8, 3, 4) | [i] | ||
| 11 | Linear OOA(858, large, F8, 3, 4) | [i] | ||
| 12 | Linear OOA(861, large, F8, 3, 4) | [i] | ||
| 13 | Linear OOA(864, large, F8, 3, 4) | [i] | ||
| 14 | Linear OOA(867, large, F8, 3, 4) | [i] | ||
| 15 | Linear OOA(870, large, F8, 3, 4) | [i] | ||
| 16 | Linear OOA(873, large, F8, 3, 4) | [i] | ||
| 17 | Linear OOA(876, large, F8, 3, 4) | [i] | ||
| 18 | Linear OOA(879, large, F8, 3, 4) | [i] | ||
| 19 | Linear OOA(882, large, F8, 3, 4) | [i] | ||
| 20 | Linear OOA(885, large, F8, 3, 4) | [i] | ||
| 21 | Linear OOA(888, large, F8, 3, 4) | [i] | ||
| 22 | Linear OOA(894, large, F8, 3, 4) | [i] | ||
| 23 | Linear OOA(897, large, F8, 3, 4) | [i] | ||
| 24 | Linear OOA(8100, large, F8, 3, 4) | [i] | ||
| 25 | Linear OOA(8103, large, F8, 3, 4) | [i] | ||
| 26 | Linear OOA(8106, large, F8, 3, 4) | [i] | ||
| 27 | Linear OOA(8109, large, F8, 3, 4) | [i] | ||
| 28 | Linear OOA(8112, large, F8, 3, 4) | [i] | ||
| 29 | Linear OOA(8118, large, F8, 3, 4) | [i] | ||
| 30 | Linear OOA(8121, large, F8, 3, 4) | [i] | ||
| 31 | Linear OOA(8124, large, F8, 3, 4) | [i] | ||
| 32 | Linear OOA(8127, large, F8, 3, 4) | [i] | ||
| 33 | Linear OOA(8130, large, F8, 3, 4) | [i] | ||
| 34 | Linear OOA(8133, large, F8, 3, 4) | [i] | ||
| 35 | Linear OOA(8136, large, F8, 3, 4) | [i] | ||
| 36 | Linear OOA(8142, large, F8, 3, 4) | [i] | ||
| 37 | Linear OOA(8145, large, F8, 3, 4) | [i] | ||
| 38 | Linear OOA(8148, large, F8, 3, 4) | [i] | ||
| 39 | Linear OOA(8151, large, F8, 3, 4) | [i] | ||
| 40 | Linear OOA(8154, large, F8, 3, 4) | [i] | ||
| 41 | Linear OOA(8157, large, F8, 3, 4) | [i] | ||
| 42 | Linear OOA(8160, large, F8, 3, 4) | [i] | ||
| 43 | Linear OOA(8166, large, F8, 3, 4) | [i] | ||
| 44 | Linear OOA(8169, large, F8, 3, 4) | [i] | ||
| 45 | Linear OOA(8172, large, F8, 3, 4) | [i] | ||
| 46 | Linear OOA(829, large, F8, 3, 4) | [i] | OOA Duplication | |
| 47 | Linear OOA(830, large, F8, 3, 4) | [i] | ||
| 48 | Linear OOA(828, large, F8, 4, 4) | [i] | Appending kth Column | |