Information on Result #547593
There is no linear OA(8149, 257, F8, 128) (dual of [257, 108, 129]-code), because residual code would yield OA(821, 128, S8, 16), but
- the linear programming bound shows that M ≥ 1 008968 613742 170487 095115 575000 563712 / 108734 057573 457133 > 821 [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(8150, 258, F8, 129) (dual of [258, 108, 130]-code) | [i] | Truncation | |
| 2 | No linear OA(8151, 259, F8, 130) (dual of [259, 108, 131]-code) | [i] | ||
| 3 | No linear OA(8152, 260, F8, 131) (dual of [260, 108, 132]-code) | [i] | ||
| 4 | No linear OA(8153, 261, F8, 132) (dual of [261, 108, 133]-code) | [i] | ||
| 5 | No linear OA(8154, 262, F8, 133) (dual of [262, 108, 134]-code) | [i] | ||
| 6 | No linear OA(8155, 263, F8, 134) (dual of [263, 108, 135]-code) | [i] | ||
| 7 | No linear OA(8156, 264, F8, 135) (dual of [264, 108, 136]-code) | [i] | ||
| 8 | No linear OOA(8150, 257, F8, 2, 129) (dual of [(257, 2), 364, 130]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8151, 257, F8, 2, 130) (dual of [(257, 2), 363, 131]-NRT-code) | [i] | ||
| 10 | No linear OOA(8152, 257, F8, 2, 131) (dual of [(257, 2), 362, 132]-NRT-code) | [i] | ||
| 11 | No linear OOA(8153, 257, F8, 2, 132) (dual of [(257, 2), 361, 133]-NRT-code) | [i] | ||
| 12 | No linear OOA(8154, 257, F8, 2, 133) (dual of [(257, 2), 360, 134]-NRT-code) | [i] | ||
| 13 | No linear OOA(8155, 257, F8, 2, 134) (dual of [(257, 2), 359, 135]-NRT-code) | [i] | ||
| 14 | No linear OOA(8156, 257, F8, 2, 135) (dual of [(257, 2), 358, 136]-NRT-code) | [i] | ||
| 15 | No linear OOA(8149, 257, F8, 2, 128) (dual of [(257, 2), 365, 129]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8149, 257, F8, 3, 128) (dual of [(257, 3), 622, 129]-NRT-code) | [i] | ||
| 17 | No digital (21, 149, 257)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |