Information on Result #60098
There is no OA(4113, 148, S4, 80), because the linear programming bound shows that M ≥ 134390 122763 442072 744489 280693 386578 084491 173770 590049 483300 612364 941999 081453 236362 093214 564352 / 1168 599339 892305 226318 359375 > 4113
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(4113, 148, S4, 2, 80) | [i] | Depth Reduction | |
| 2 | No OOA(4113, 148, S4, 3, 80) | [i] | ||
| 3 | No (33, 113, 148)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4108, 221, F4, 76) (dual of [221, 113, 77]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4114, 232, F4, 80) (dual of [232, 118, 81]-code) | [i] | ||
| 6 | No linear OA(4114, 229, F4, 80) (dual of [229, 115, 81]-code) | [i] | ||