Information on Result #547609
There is no linear OA(8168, 299, F8, 144) (dual of [299, 131, 145]-code), because residual code would yield OA(824, 154, S8, 18), but
- the linear programming bound shows that M ≥ 1463 606729 993253 457700 255083 689454 600192 / 305843 519426 437217 > 824 [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(8169, 300, F8, 145) (dual of [300, 131, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(8170, 301, F8, 146) (dual of [301, 131, 147]-code) | [i] | ||
| 3 | No linear OA(8171, 302, F8, 147) (dual of [302, 131, 148]-code) | [i] | ||
| 4 | No linear OA(8172, 303, F8, 148) (dual of [303, 131, 149]-code) | [i] | ||
| 5 | No linear OA(8173, 304, F8, 149) (dual of [304, 131, 150]-code) | [i] | ||
| 6 | No linear OOA(8169, 299, F8, 2, 145) (dual of [(299, 2), 429, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 7 | No linear OOA(8170, 299, F8, 2, 146) (dual of [(299, 2), 428, 147]-NRT-code) | [i] | ||
| 8 | No linear OOA(8171, 299, F8, 2, 147) (dual of [(299, 2), 427, 148]-NRT-code) | [i] | ||
| 9 | No linear OOA(8172, 299, F8, 2, 148) (dual of [(299, 2), 426, 149]-NRT-code) | [i] | ||
| 10 | No linear OOA(8173, 299, F8, 2, 149) (dual of [(299, 2), 425, 150]-NRT-code) | [i] | ||
| 11 | No linear OOA(8168, 299, F8, 2, 144) (dual of [(299, 2), 430, 145]-NRT-code) | [i] | Depth Reduction | |
| 12 | No linear OOA(8168, 299, F8, 3, 144) (dual of [(299, 3), 729, 145]-NRT-code) | [i] | ||
| 13 | No digital (24, 168, 299)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |