Information on Result #547587
There is no linear OA(8139, 225, F8, 120) (dual of [225, 86, 121]-code), because residual code would yield OA(819, 104, S8, 15), but
- 1 times truncation [i] would yield OA(818, 103, S8, 14), but
- the linear programming bound shows that M ≥ 2 959453 402132 306537 427763 200000 / 157 546655 556261 > 818 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(8140, 226, F8, 121) (dual of [226, 86, 122]-code) | [i] | Truncation | |
| 2 | No linear OA(8141, 227, F8, 122) (dual of [227, 86, 123]-code) | [i] | ||
| 3 | No linear OA(8142, 228, F8, 123) (dual of [228, 86, 124]-code) | [i] | ||
| 4 | No linear OA(8143, 229, F8, 124) (dual of [229, 86, 125]-code) | [i] | ||
| 5 | No linear OA(8144, 230, F8, 125) (dual of [230, 86, 126]-code) | [i] | ||
| 6 | No linear OA(8145, 231, F8, 126) (dual of [231, 86, 127]-code) | [i] | ||
| 7 | No linear OA(8146, 232, F8, 127) (dual of [232, 86, 128]-code) | [i] | ||
| 8 | No linear OOA(8140, 225, F8, 2, 121) (dual of [(225, 2), 310, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8141, 225, F8, 2, 122) (dual of [(225, 2), 309, 123]-NRT-code) | [i] | ||
| 10 | No linear OOA(8142, 225, F8, 2, 123) (dual of [(225, 2), 308, 124]-NRT-code) | [i] | ||
| 11 | No linear OOA(8143, 225, F8, 2, 124) (dual of [(225, 2), 307, 125]-NRT-code) | [i] | ||
| 12 | No linear OOA(8144, 225, F8, 2, 125) (dual of [(225, 2), 306, 126]-NRT-code) | [i] | ||
| 13 | No linear OOA(8145, 225, F8, 2, 126) (dual of [(225, 2), 305, 127]-NRT-code) | [i] | ||
| 14 | No linear OOA(8146, 225, F8, 2, 127) (dual of [(225, 2), 304, 128]-NRT-code) | [i] | ||
| 15 | No linear OOA(8139, 225, F8, 2, 120) (dual of [(225, 2), 311, 121]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8139, 225, F8, 3, 120) (dual of [(225, 3), 536, 121]-NRT-code) | [i] | ||
| 17 | No digital (19, 139, 225)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 18 | No linear OA(8107, 246, F8, 91) (dual of [246, 139, 92]-code) | [i] | Construction Y1 (Bound) | |
| 19 | No linear OA(8114, 253, F8, 97) (dual of [253, 139, 98]-code) | [i] | ||