Information on Result #547600
There is no linear OA(8158, 266, F8, 136) (dual of [266, 108, 137]-code), because residual code would yield OA(822, 129, S8, 17), but
- 1 times truncation [i] 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(8159, 267, F8, 137) (dual of [267, 108, 138]-code) | [i] | Truncation | |
| 2 | No linear OA(8160, 268, F8, 138) (dual of [268, 108, 139]-code) | [i] | ||
| 3 | No linear OA(8161, 269, F8, 139) (dual of [269, 108, 140]-code) | [i] | ||
| 4 | No linear OA(8162, 270, F8, 140) (dual of [270, 108, 141]-code) | [i] | ||
| 5 | No linear OA(8163, 271, F8, 141) (dual of [271, 108, 142]-code) | [i] | ||
| 6 | No linear OA(8164, 272, F8, 142) (dual of [272, 108, 143]-code) | [i] | ||
| 7 | No linear OA(8165, 273, F8, 143) (dual of [273, 108, 144]-code) | [i] | ||
| 8 | No linear OOA(8159, 266, F8, 2, 137) (dual of [(266, 2), 373, 138]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8160, 266, F8, 2, 138) (dual of [(266, 2), 372, 139]-NRT-code) | [i] | ||
| 10 | No linear OOA(8161, 266, F8, 2, 139) (dual of [(266, 2), 371, 140]-NRT-code) | [i] | ||
| 11 | No linear OOA(8162, 266, F8, 2, 140) (dual of [(266, 2), 370, 141]-NRT-code) | [i] | ||
| 12 | No linear OOA(8163, 266, F8, 2, 141) (dual of [(266, 2), 369, 142]-NRT-code) | [i] | ||
| 13 | No linear OOA(8164, 266, F8, 2, 142) (dual of [(266, 2), 368, 143]-NRT-code) | [i] | ||
| 14 | No linear OOA(8165, 266, F8, 2, 143) (dual of [(266, 2), 367, 144]-NRT-code) | [i] | ||
| 15 | No linear OOA(8158, 266, F8, 2, 136) (dual of [(266, 2), 374, 137]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8158, 266, F8, 3, 136) (dual of [(266, 3), 640, 137]-NRT-code) | [i] | ||
| 17 | No digital (22, 158, 266)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 18 | No linear OA(8112, 270, F8, 95) (dual of [270, 158, 96]-code) | [i] | Construction Y1 (Bound) | |
| 19 | No linear OA(8118, 276, F8, 100) (dual of [276, 158, 101]-code) | [i] | ||