Information on Result #59298
There is no OA(3123, 148, S3, 78), because the linear programming bound shows that M ≥ 7 262897 028362 273678 472870 511072 492435 452301 893929 213302 547823 936352 413873 / 144 349303 060703 > 3123
Mode: Bound.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(3123, 148, S3, 2, 78) | [i] | Depth Reduction | |
| 2 | No OOA(3123, 148, S3, 3, 78) | [i] | ||
| 3 | No OOA(3123, 148, S3, 4, 78) | [i] | ||
| 4 | No OOA(3123, 148, S3, 5, 78) | [i] | ||
| 5 | No (45, 123, 148)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3124, 176, F3, 78) (dual of [176, 52, 79]-code) | [i] | Construction Y1 (Bound) | |