Information on Result #547595
There is no linear OA(8152, 406, F8, 128) (dual of [406, 254, 129]-code), because residual code would yield OA(824, 277, S8, 16), but
- the linear programming bound shows that M ≥ 78638 403871 838919 782431 803777 157693 440000 / 16 504446 602386 301789 > 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(8153, 407, F8, 129) (dual of [407, 254, 130]-code) | [i] | Truncation | |
| 2 | No linear OA(8154, 408, F8, 130) (dual of [408, 254, 131]-code) | [i] | ||
| 3 | No linear OA(8155, 409, F8, 131) (dual of [409, 254, 132]-code) | [i] | ||
| 4 | No linear OA(8156, 410, F8, 132) (dual of [410, 254, 133]-code) | [i] | ||
| 5 | No linear OA(8157, 411, F8, 133) (dual of [411, 254, 134]-code) | [i] | ||
| 6 | No linear OA(8158, 412, F8, 134) (dual of [412, 254, 135]-code) | [i] | ||
| 7 | No linear OA(8159, 413, F8, 135) (dual of [413, 254, 136]-code) | [i] | ||
| 8 | No linear OOA(8153, 406, F8, 2, 129) (dual of [(406, 2), 659, 130]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8154, 406, F8, 2, 130) (dual of [(406, 2), 658, 131]-NRT-code) | [i] | ||
| 10 | No linear OOA(8155, 406, F8, 2, 131) (dual of [(406, 2), 657, 132]-NRT-code) | [i] | ||
| 11 | No linear OOA(8156, 406, F8, 2, 132) (dual of [(406, 2), 656, 133]-NRT-code) | [i] | ||
| 12 | No linear OOA(8157, 406, F8, 2, 133) (dual of [(406, 2), 655, 134]-NRT-code) | [i] | ||
| 13 | No linear OOA(8158, 406, F8, 2, 134) (dual of [(406, 2), 654, 135]-NRT-code) | [i] | ||
| 14 | No linear OOA(8159, 406, F8, 2, 135) (dual of [(406, 2), 653, 136]-NRT-code) | [i] | ||
| 15 | No linear OOA(8152, 406, F8, 2, 128) (dual of [(406, 2), 660, 129]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8152, 406, F8, 3, 128) (dual of [(406, 3), 1066, 129]-NRT-code) | [i] | ||
| 17 | No digital (24, 152, 406)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |