Information on Result #1014204
Linear OOA(836, large, F8, 3, 5), 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(834, 8388602, F8, 3, 5) (dual of [(8388602, 3), 25165772, 6]-NRT-code), using
- trace code [i] based on linear OOA(6417, 4194301, F64, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- trace code [i] based on linear OOA(6417, 4194301, F64, 3, 5) (dual of [(4194301, 3), 12582886, 6]-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(836, large, F8, 3, 4) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(836, large, F8, 3, 3) | [i] | ||
| 3 | Linear OOA(839, large, F8, 3, 5) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(842, large, F8, 3, 5) | [i] | ||
| 5 | Linear OOA(845, large, F8, 3, 5) | [i] | ||
| 6 | Linear OOA(848, large, F8, 3, 5) | [i] | ||
| 7 | Linear OOA(851, large, F8, 3, 5) | [i] | ||
| 8 | Linear OOA(857, large, F8, 3, 5) | [i] | ||
| 9 | Linear OOA(860, large, F8, 3, 5) | [i] | ||
| 10 | Linear OOA(863, large, F8, 3, 5) | [i] | ||
| 11 | Linear OOA(866, large, F8, 3, 5) | [i] | ||
| 12 | Linear OOA(869, large, F8, 3, 5) | [i] | ||
| 13 | Linear OOA(872, large, F8, 3, 5) | [i] | ||
| 14 | Linear OOA(875, large, F8, 3, 5) | [i] | ||
| 15 | Linear OOA(878, large, F8, 3, 5) | [i] | ||
| 16 | Linear OOA(881, large, F8, 3, 5) | [i] | ||
| 17 | Linear OOA(884, large, F8, 3, 5) | [i] | ||
| 18 | Linear OOA(887, large, F8, 3, 5) | [i] | ||
| 19 | Linear OOA(890, large, F8, 3, 5) | [i] | ||
| 20 | Linear OOA(893, large, F8, 3, 5) | [i] | ||
| 21 | Linear OOA(896, large, F8, 3, 5) | [i] | ||
| 22 | Linear OOA(899, large, F8, 3, 5) | [i] | ||
| 23 | Linear OOA(8102, large, F8, 3, 5) | [i] | ||
| 24 | Linear OOA(8105, large, F8, 3, 5) | [i] | ||
| 25 | Linear OOA(8108, large, F8, 3, 5) | [i] | ||
| 26 | Linear OOA(8111, large, F8, 3, 5) | [i] | ||
| 27 | Linear OOA(8114, large, F8, 3, 5) | [i] | ||
| 28 | Linear OOA(8117, large, F8, 3, 5) | [i] | ||
| 29 | Linear OOA(8120, large, F8, 3, 5) | [i] | ||
| 30 | Linear OOA(8123, large, F8, 3, 5) | [i] | ||
| 31 | Linear OOA(8126, large, F8, 3, 5) | [i] | ||
| 32 | Linear OOA(8129, large, F8, 3, 5) | [i] | ||
| 33 | Linear OOA(8132, large, F8, 3, 5) | [i] | ||
| 34 | Linear OOA(8135, large, F8, 3, 5) | [i] | ||
| 35 | Linear OOA(8138, large, F8, 3, 5) | [i] | ||
| 36 | Linear OOA(8141, large, F8, 3, 5) | [i] | ||
| 37 | Linear OOA(8144, large, F8, 3, 5) | [i] | ||
| 38 | Linear OOA(8147, large, F8, 3, 5) | [i] | ||
| 39 | Linear OOA(8150, large, F8, 3, 5) | [i] | ||
| 40 | Linear OOA(8153, large, F8, 3, 5) | [i] | ||
| 41 | Linear OOA(8156, large, F8, 3, 5) | [i] | ||
| 42 | Linear OOA(8159, large, F8, 3, 5) | [i] | ||
| 43 | Linear OOA(8162, large, F8, 3, 5) | [i] | ||
| 44 | Linear OOA(8165, large, F8, 3, 5) | [i] | ||
| 45 | Linear OOA(8168, large, F8, 3, 5) | [i] | ||
| 46 | Linear OOA(8171, large, F8, 3, 5) | [i] | ||
| 47 | Linear OOA(837, large, F8, 3, 5) | [i] | OOA Duplication | |
| 48 | Linear OOA(838, large, F8, 3, 5) | [i] | ||