Information on Result #547588
There is no linear OA(8140, 260, F8, 120) (dual of [260, 120, 121]-code), because residual code would yield OA(820, 139, S8, 15), but
- 1 times truncation [i] would yield OA(819, 138, S8, 14), but
- the linear programming bound shows that M ≥ 411449 038157 955600 826236 928000 / 2 816739 543071 > 819 [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(8141, 261, F8, 121) (dual of [261, 120, 122]-code) | [i] | Truncation | |
| 2 | No linear OA(8142, 262, F8, 122) (dual of [262, 120, 123]-code) | [i] | ||
| 3 | No linear OA(8143, 263, F8, 123) (dual of [263, 120, 124]-code) | [i] | ||
| 4 | No linear OA(8144, 264, F8, 124) (dual of [264, 120, 125]-code) | [i] | ||
| 5 | No linear OA(8145, 265, F8, 125) (dual of [265, 120, 126]-code) | [i] | ||
| 6 | No linear OA(8146, 266, F8, 126) (dual of [266, 120, 127]-code) | [i] | ||
| 7 | No linear OA(8147, 267, F8, 127) (dual of [267, 120, 128]-code) | [i] | ||
| 8 | No linear OOA(8141, 260, F8, 2, 121) (dual of [(260, 2), 379, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8142, 260, F8, 2, 122) (dual of [(260, 2), 378, 123]-NRT-code) | [i] | ||
| 10 | No linear OOA(8143, 260, F8, 2, 123) (dual of [(260, 2), 377, 124]-NRT-code) | [i] | ||
| 11 | No linear OOA(8144, 260, F8, 2, 124) (dual of [(260, 2), 376, 125]-NRT-code) | [i] | ||
| 12 | No linear OOA(8145, 260, F8, 2, 125) (dual of [(260, 2), 375, 126]-NRT-code) | [i] | ||
| 13 | No linear OOA(8146, 260, F8, 2, 126) (dual of [(260, 2), 374, 127]-NRT-code) | [i] | ||
| 14 | No linear OOA(8147, 260, F8, 2, 127) (dual of [(260, 2), 373, 128]-NRT-code) | [i] | ||
| 15 | No linear OOA(8140, 260, F8, 2, 120) (dual of [(260, 2), 380, 121]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8140, 260, F8, 3, 120) (dual of [(260, 3), 640, 121]-NRT-code) | [i] | ||
| 17 | No digital (20, 140, 260)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 18 | No linear OA(8120, 260, F8, 102) (dual of [260, 140, 103]-code) | [i] | Construction Y1 (Bound) | |
| 19 | No linear OA(8125, 265, F8, 106) (dual of [265, 140, 107]-code) | [i] | ||