Information on Result #894010
Linear OOA(858, 8388602, F8, 2, 8) (dual of [(8388602, 2), 16777146, 9]-NRT-code), using trace code based on linear OOA(6429, 4194301, F64, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6429, 8388602, F64, 8) (dual of [8388602, 8388573, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(860, large, F8, 2, 8) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(862, large, F8, 2, 8) | [i] | ||
| 3 | Linear OOA(864, large, F8, 2, 8) | [i] | ||
| 4 | Linear OOA(866, large, F8, 2, 8) | [i] | ||
| 5 | Linear OOA(868, large, F8, 2, 8) | [i] | ||
| 6 | Linear OOA(870, large, F8, 2, 8) | [i] | ||
| 7 | Linear OOA(872, large, F8, 2, 8) | [i] | ||
| 8 | Linear OOA(874, large, F8, 2, 8) | [i] | ||
| 9 | Linear OOA(876, large, F8, 2, 8) | [i] | ||
| 10 | Linear OOA(878, large, F8, 2, 8) | [i] | ||
| 11 | Linear OOA(880, large, F8, 2, 8) | [i] | ||
| 12 | Linear OOA(882, large, F8, 2, 8) | [i] | ||
| 13 | Linear OOA(884, large, F8, 2, 8) | [i] | ||
| 14 | Linear OOA(886, large, F8, 2, 8) | [i] | ||
| 15 | Linear OOA(888, large, F8, 2, 8) | [i] | ||
| 16 | Linear OOA(890, large, F8, 2, 8) | [i] | ||
| 17 | Linear OOA(892, large, F8, 2, 8) | [i] | ||
| 18 | Linear OOA(894, large, F8, 2, 8) | [i] | ||
| 19 | Linear OOA(896, large, F8, 2, 8) | [i] | ||
| 20 | Linear OOA(898, large, F8, 2, 8) | [i] | ||
| 21 | Linear OOA(8100, large, F8, 2, 8) | [i] | ||
| 22 | Linear OOA(8102, large, F8, 2, 8) | [i] | ||
| 23 | Linear OOA(8104, large, F8, 2, 8) | [i] | ||
| 24 | Linear OOA(8106, large, F8, 2, 8) | [i] | ||
| 25 | Linear OOA(8108, large, F8, 2, 8) | [i] | ||
| 26 | Linear OOA(8110, large, F8, 2, 8) | [i] | ||
| 27 | Linear OOA(8112, large, F8, 2, 8) | [i] | ||
| 28 | Linear OOA(8114, large, F8, 2, 8) | [i] | ||
| 29 | Linear OOA(8116, large, F8, 2, 8) | [i] | ||
| 30 | Linear OOA(8118, large, F8, 2, 8) | [i] | ||
| 31 | Linear OOA(8120, large, F8, 2, 8) | [i] | ||
| 32 | Linear OOA(8122, large, F8, 2, 8) | [i] | ||
| 33 | Linear OOA(8124, large, F8, 2, 8) | [i] | ||
| 34 | Linear OOA(8126, large, F8, 2, 8) | [i] | ||
| 35 | Linear OOA(8128, large, F8, 2, 8) | [i] | ||
| 36 | Linear OOA(8130, large, F8, 2, 8) | [i] | ||
| 37 | Linear OOA(8132, large, F8, 2, 8) | [i] | ||
| 38 | Linear OOA(8134, large, F8, 2, 8) | [i] | ||
| 39 | Linear OOA(8136, large, F8, 2, 8) | [i] | ||
| 40 | Linear OOA(8138, large, F8, 2, 8) | [i] | ||
| 41 | Linear OOA(8140, large, F8, 2, 8) | [i] | ||
| 42 | Linear OOA(8142, large, F8, 2, 8) | [i] | ||
| 43 | Linear OOA(8144, large, F8, 2, 8) | [i] | ||
| 44 | Linear OOA(8146, large, F8, 2, 8) | [i] | ||
| 45 | Linear OOA(8148, large, F8, 2, 8) | [i] | ||
| 46 | Linear OOA(8150, large, F8, 2, 8) | [i] | ||
| 47 | Linear OOA(8152, large, F8, 2, 8) | [i] | ||
| 48 | Linear OOA(8154, large, F8, 2, 8) | [i] | ||
| 49 | Linear OOA(8156, large, F8, 2, 8) | [i] | ||
| 50 | Linear OOA(8158, large, F8, 2, 8) | [i] | ||
| 51 | Linear OOA(8160, large, F8, 2, 8) | [i] | ||
| 52 | Linear OOA(8162, large, F8, 2, 8) | [i] | ||
| 53 | Linear OOA(8164, large, F8, 2, 8) | [i] | ||
| 54 | Linear OOA(8166, large, F8, 2, 8) | [i] | ||
| 55 | Linear OOA(8168, large, F8, 2, 8) | [i] | ||
| 56 | Linear OOA(8170, large, F8, 2, 8) | [i] | ||
| 57 | Linear OOA(8172, large, F8, 2, 8) | [i] | ||
| 58 | Linear OOA(859, 8388602, F8, 2, 8) (dual of [(8388602, 2), 16777145, 9]-NRT-code) | [i] | OOA Duplication | |
| 59 | Linear OOA(858, 4194301, F8, 3, 8) (dual of [(4194301, 3), 12582845, 9]-NRT-code) | [i] | OOA Folding | |
| 60 | Linear OOA(858, 4194300, F8, 10, 8) (dual of [(4194300, 10), 41942942, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |