Information on Result #526681
There is no linear OA(4950, 147, F49, 49) (dual of [147, 97, 50]-code), because dual of a near-MDS code is again a near-MDS code would yield linear OA(4997, 147, F49, 96) (dual of [147, 50, 97]-code), but
- discarding factors / shortening the dual code would yield linear OA(4997, 100, F49, 96) (dual of [100, 3, 97]-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 OA(4951, 148, F49, 50) (dual of [148, 97, 51]-code) | [i] | Truncation | |
| 2 | No linear OA(4952, 149, F49, 51) (dual of [149, 97, 52]-code) | [i] | ||
| 3 | No linear OA(4953, 150, F49, 52) (dual of [150, 97, 53]-code) | [i] | ||
| 4 | No linear OA(4954, 151, F49, 53) (dual of [151, 97, 54]-code) | [i] | ||
| 5 | No linear OA(4955, 152, F49, 54) (dual of [152, 97, 55]-code) | [i] | ||
| 6 | No linear OOA(4951, 147, F49, 2, 50) (dual of [(147, 2), 243, 51]-NRT-code) | [i] | m-Reduction for OOAs | |
| 7 | No linear OOA(4952, 147, F49, 2, 51) (dual of [(147, 2), 242, 52]-NRT-code) | [i] | ||
| 8 | No linear OOA(4953, 147, F49, 2, 52) (dual of [(147, 2), 241, 53]-NRT-code) | [i] | ||
| 9 | No linear OOA(4954, 147, F49, 2, 53) (dual of [(147, 2), 240, 54]-NRT-code) | [i] | ||
| 10 | No linear OOA(4955, 147, F49, 2, 54) (dual of [(147, 2), 239, 55]-NRT-code) | [i] | ||
| 11 | No linear OOA(4950, 147, F49, 2, 49) (dual of [(147, 2), 244, 50]-NRT-code) | [i] | Depth Reduction | |
| 12 | No linear OOA(4950, 147, F49, 3, 49) (dual of [(147, 3), 391, 50]-NRT-code) | [i] | ||
| 13 | No digital (1, 50, 147)-net over F49 | [i] | Extracting Embedded Orthogonal Array | |