Information on Result #59789
There is no OA(461, 115, S4, 43), because the linear programming bound shows that M ≥ 8 867577 820394 892078 302903 376011 219649 893047 268294 051459 959774 715216 956970 670840 325873 158120 379501 398960 032970 458008 737468 823847 270763 370822 590292 322808 758272 / 1 568698 363933 661749 730985 011129 979312 182529 988673 402786 941022 163461 443141 672915 973490 090934 276533 827022 911521 994930 215625 > 461
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(461, 115, S4, 2, 43) | [i] | Depth Reduction | |
| 2 | No OOA(461, 115, S4, 3, 43) | [i] | ||
| 3 | No (18, 61, 115)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4233, 288, F4, 172) (dual of [288, 55, 173]-code) | [i] | Residual Code | |