Information on Result #547950
There is no linear OA(5115, 263, F5, 87) (dual of [263, 148, 88]-code), because construction Y1 would yield
- OA(5114, 148, S5, 87), but
- the linear programming bound shows that M ≥ 63687 687420 768027 997189 489566 120495 525254 388256 273970 899556 895034 800130 250829 397482 448257 505893 707275 390625 / 1273 099402 224877 219656 507008 > 5114 [i]
- linear OA(5148, 263, F5, 115) (dual of [263, 115, 116]-code), but
- discarding factors / shortening the dual code would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-code), but
- residual code [i] would yield OA(533, 134, S5, 23), but
- the linear programming bound shows that M ≥ 7 905984 850652 471068 879589 438438 415527 343750 / 66 073848 265952 909413 > 533 [i]
- residual code [i] would yield OA(533, 134, S5, 23), but
- discarding factors / shortening the dual code would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-code), but
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 OOA(5115, 263, F5, 2, 87) (dual of [(263, 2), 411, 88]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(5115, 263, F5, 3, 87) (dual of [(263, 3), 674, 88]-NRT-code) | [i] | ||
| 3 | No digital (28, 115, 263)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |