Information on Result #547551
There is no linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-code), because residual code 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]
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(5149, 251, F5, 116) (dual of [251, 102, 117]-code) | [i] | Truncation | |
| 2 | No linear OA(5150, 252, F5, 117) (dual of [252, 102, 118]-code) | [i] | ||
| 3 | No linear OOA(5149, 250, F5, 2, 116) (dual of [(250, 2), 351, 117]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(5150, 250, F5, 2, 117) (dual of [(250, 2), 350, 118]-NRT-code) | [i] | ||
| 5 | No linear OOA(5148, 250, F5, 2, 115) (dual of [(250, 2), 352, 116]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(5148, 250, F5, 3, 115) (dual of [(250, 3), 602, 116]-NRT-code) | [i] | ||
| 7 | No digital (33, 148, 250)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(5103, 251, F5, 78) (dual of [251, 148, 79]-code) | [i] | Construction Y1 (Bound) | |
| 9 | No linear OA(5107, 255, F5, 81) (dual of [255, 148, 82]-code) | [i] | ||
| 10 | No linear OA(5111, 259, F5, 84) (dual of [259, 148, 85]-code) | [i] | ||
| 11 | No linear OA(5115, 263, F5, 87) (dual of [263, 148, 88]-code) | [i] | ||