Information on Result #547174
There is no linear OA(4166, 266, F4, 120) (dual of [266, 100, 121]-code), because residual code would yield OA(446, 145, S4, 30), but
- the linear programming bound shows that M ≥ 67570 833102 995435 189154 918165 006684 183730 537222 427901 952000 / 12 430956 877721 758752 328944 450373 > 446 [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(4167, 267, F4, 121) (dual of [267, 100, 122]-code) | [i] | Truncation | |
| 2 | No linear OA(4168, 268, F4, 122) (dual of [268, 100, 123]-code) | [i] | ||
| 3 | No linear OA(4169, 269, F4, 123) (dual of [269, 100, 124]-code) | [i] | ||
| 4 | No linear OOA(4167, 266, F4, 2, 121) (dual of [(266, 2), 365, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4168, 266, F4, 2, 122) (dual of [(266, 2), 364, 123]-NRT-code) | [i] | ||
| 6 | No linear OOA(4169, 266, F4, 2, 123) (dual of [(266, 2), 363, 124]-NRT-code) | [i] | ||
| 7 | No linear OOA(4166, 266, F4, 2, 120) (dual of [(266, 2), 366, 121]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4166, 266, F4, 3, 120) (dual of [(266, 3), 632, 121]-NRT-code) | [i] | ||
| 9 | No digital (46, 166, 266)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |