Information on Result #59778
There is no OA(465, 196, S4, 42), because the linear programming bound shows that M ≥ 396900 403316 059479 106808 484395 402977 413951 648726 549399 691598 760260 216224 172313 340280 832000 / 276 682488 299206 750393 648129 881706 051242 679804 397123 > 465
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(465, 196, S4, 2, 42) | [i] | Depth Reduction | |
| 2 | No (23, 65, 196)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 3 | No linear OA(4233, 365, F4, 168) (dual of [365, 132, 169]-code) | [i] | Residual Code | |