Information on Result #59585
There is no OA(440, 77, S4, 29), because the linear programming bound shows that M ≥ 4251 685109 878307 148388 698599 073401 771124 147462 202708 468242 965476 282402 508945 965409 202205 622272 / 3490 809154 964403 279262 795000 811904 506085 532515 137607 243270 620618 690625 > 440
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(440, 77, S4, 2, 29) | [i] | Depth Reduction | |
| 2 | No OOA(440, 77, S4, 3, 29) | [i] | ||
| 3 | No (11, 40, 77)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4156, 194, F4, 116) (dual of [194, 38, 117]-code) | [i] | Residual Code | |