Information on Result #547627
There is no linear OA(9134, 251, F9, 117) (dual of [251, 117, 118]-code), because residual code would yield OA(917, 133, S9, 13), but
- 1 times truncation [i] would yield OA(916, 132, S9, 12), but
- the linear programming bound shows that M ≥ 366759 481988 110308 514537 173543 / 191 274702 307783 > 916 [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(9135, 252, F9, 118) (dual of [252, 117, 119]-code) | [i] | Truncation | |
| 2 | No linear OA(9136, 253, F9, 119) (dual of [253, 117, 120]-code) | [i] | ||
| 3 | No linear OA(9137, 254, F9, 120) (dual of [254, 117, 121]-code) | [i] | ||
| 4 | No linear OA(9138, 255, F9, 121) (dual of [255, 117, 122]-code) | [i] | ||
| 5 | No linear OA(9139, 256, F9, 122) (dual of [256, 117, 123]-code) | [i] | ||
| 6 | No linear OA(9140, 257, F9, 123) (dual of [257, 117, 124]-code) | [i] | ||
| 7 | No linear OA(9141, 258, F9, 124) (dual of [258, 117, 125]-code) | [i] | ||
| 8 | No linear OA(9142, 259, F9, 125) (dual of [259, 117, 126]-code) | [i] | ||
| 9 | No linear OOA(9135, 251, F9, 2, 118) (dual of [(251, 2), 367, 119]-NRT-code) | [i] | m-Reduction for OOAs | |
| 10 | No linear OOA(9136, 251, F9, 2, 119) (dual of [(251, 2), 366, 120]-NRT-code) | [i] | ||
| 11 | No linear OOA(9137, 251, F9, 2, 120) (dual of [(251, 2), 365, 121]-NRT-code) | [i] | ||
| 12 | No linear OOA(9138, 251, F9, 2, 121) (dual of [(251, 2), 364, 122]-NRT-code) | [i] | ||
| 13 | No linear OOA(9139, 251, F9, 2, 122) (dual of [(251, 2), 363, 123]-NRT-code) | [i] | ||
| 14 | No linear OOA(9140, 251, F9, 2, 123) (dual of [(251, 2), 362, 124]-NRT-code) | [i] | ||
| 15 | No linear OOA(9141, 251, F9, 2, 124) (dual of [(251, 2), 361, 125]-NRT-code) | [i] | ||
| 16 | No linear OOA(9142, 251, F9, 2, 125) (dual of [(251, 2), 360, 126]-NRT-code) | [i] | ||
| 17 | No linear OOA(9134, 251, F9, 2, 117) (dual of [(251, 2), 368, 118]-NRT-code) | [i] | Depth Reduction | |
| 18 | No linear OOA(9134, 251, F9, 3, 117) (dual of [(251, 3), 619, 118]-NRT-code) | [i] | ||
| 19 | No digital (17, 134, 251)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |
| 20 | No linear OA(9120, 254, F9, 104) (dual of [254, 134, 105]-code) | [i] | Construction Y1 (Bound) | |
| 21 | No linear OA(9127, 261, F9, 110) (dual of [261, 134, 111]-code) | [i] | ||