Information on Result #547602
There is no linear OA(8160, 353, F8, 136) (dual of [353, 193, 137]-code), because residual code would yield OA(824, 216, S8, 17), but
- 1 times truncation [i] would yield OA(823, 215, S8, 16), but
- the linear programming bound shows that M ≥ 9069 643604 547071 244335 560849 505648 640000 / 15 008917 595182 591313 > 823 [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(8161, 354, F8, 137) (dual of [354, 193, 138]-code) | [i] | Truncation | |
| 2 | No linear OA(8162, 355, F8, 138) (dual of [355, 193, 139]-code) | [i] | ||
| 3 | No linear OA(8163, 356, F8, 139) (dual of [356, 193, 140]-code) | [i] | ||
| 4 | No linear OA(8164, 357, F8, 140) (dual of [357, 193, 141]-code) | [i] | ||
| 5 | No linear OA(8165, 358, F8, 141) (dual of [358, 193, 142]-code) | [i] | ||
| 6 | No linear OA(8166, 359, F8, 142) (dual of [359, 193, 143]-code) | [i] | ||
| 7 | No linear OA(8167, 360, F8, 143) (dual of [360, 193, 144]-code) | [i] | ||
| 8 | No linear OOA(8161, 353, F8, 2, 137) (dual of [(353, 2), 545, 138]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8162, 353, F8, 2, 138) (dual of [(353, 2), 544, 139]-NRT-code) | [i] | ||
| 10 | No linear OOA(8163, 353, F8, 2, 139) (dual of [(353, 2), 543, 140]-NRT-code) | [i] | ||
| 11 | No linear OOA(8164, 353, F8, 2, 140) (dual of [(353, 2), 542, 141]-NRT-code) | [i] | ||
| 12 | No linear OOA(8165, 353, F8, 2, 141) (dual of [(353, 2), 541, 142]-NRT-code) | [i] | ||
| 13 | No linear OOA(8166, 353, F8, 2, 142) (dual of [(353, 2), 540, 143]-NRT-code) | [i] | ||
| 14 | No linear OOA(8167, 353, F8, 2, 143) (dual of [(353, 2), 539, 144]-NRT-code) | [i] | ||
| 15 | No linear OOA(8160, 353, F8, 2, 136) (dual of [(353, 2), 546, 137]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8160, 353, F8, 3, 136) (dual of [(353, 3), 899, 137]-NRT-code) | [i] | ||
| 17 | No digital (24, 160, 353)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |