Information on Result #547549
There is no linear OA(5146, 212, F5, 115) (dual of [212, 66, 116]-code), because residual code would yield OA(531, 96, S5, 23), but
- the linear programming bound shows that M ≥ 83056 616983 303326 929885 010601 222515 106201 171875 / 16 431931 343603 224105 080643 > 531 [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(5147, 213, F5, 116) (dual of [213, 66, 117]-code) | [i] | Truncation | |
| 2 | No linear OA(5148, 214, F5, 117) (dual of [214, 66, 118]-code) | [i] | ||
| 3 | No linear OA(5149, 215, F5, 118) (dual of [215, 66, 119]-code) | [i] | ||
| 4 | No linear OA(5150, 216, F5, 119) (dual of [216, 66, 120]-code) | [i] | ||
| 5 | No linear OOA(5147, 212, F5, 2, 116) (dual of [(212, 2), 277, 117]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(5148, 212, F5, 2, 117) (dual of [(212, 2), 276, 118]-NRT-code) | [i] | ||
| 7 | No linear OOA(5149, 212, F5, 2, 118) (dual of [(212, 2), 275, 119]-NRT-code) | [i] | ||
| 8 | No linear OOA(5150, 212, F5, 2, 119) (dual of [(212, 2), 274, 120]-NRT-code) | [i] | ||
| 9 | No linear OOA(5146, 212, F5, 2, 115) (dual of [(212, 2), 278, 116]-NRT-code) | [i] | Depth Reduction | |
| 10 | No linear OOA(5146, 212, F5, 3, 115) (dual of [(212, 3), 490, 116]-NRT-code) | [i] | ||
| 11 | No digital (31, 146, 212)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |