Information on Result #59820
There is no OA(464, 119, S4, 45), because the linear programming bound shows that M ≥ 86281 259132 858652 351318 621152 193776 169011 314302 048568 574075 512291 106476 673632 920228 434592 062075 337852 335348 631534 055263 738553 834940 174592 676821 962753 440810 532864 / 242 561963 734980 780383 061022 729662 792650 160301 201736 163590 343831 386934 538599 980695 527882 064362 246641 801684 355864 415256 969895 > 464
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(464, 119, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(464, 119, S4, 3, 45) | [i] | ||
| 3 | No (19, 64, 119)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4244, 300, F4, 180) (dual of [300, 56, 181]-code) | [i] | Residual Code | |