Information on Result #59610
There is no OA(440, 46, S4, 31), because the linear programming bound shows that M ≥ 976 812062 248620 373162 590208 / 703 > 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 OA(441, 47, S4, 32) | [i] | Truncation | |
| 2 | No OA(442, 48, S4, 33) | [i] | ||
| 3 | No OOA(441, 46, S4, 2, 32) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(442, 46, S4, 2, 33) | [i] | ||
| 5 | No OOA(443, 46, S4, 2, 34) | [i] | ||
| 6 | No OOA(444, 46, S4, 2, 35) | [i] | ||
| 7 | No OOA(445, 46, S4, 2, 36) | [i] | ||
| 8 | No OOA(446, 46, S4, 2, 37) | [i] | ||
| 9 | No OOA(447, 46, S4, 2, 38) | [i] | ||
| 10 | No OOA(448, 46, S4, 2, 39) | [i] | ||
| 11 | No OOA(449, 46, S4, 2, 40) | [i] | ||
| 12 | No OOA(450, 46, S4, 2, 41) | [i] | ||
| 13 | No OOA(451, 46, S4, 2, 42) | [i] | ||
| 14 | No OOA(452, 46, S4, 2, 43) | [i] | ||
| 15 | No OOA(453, 46, S4, 2, 44) | [i] | ||
| 16 | No OOA(454, 46, S4, 2, 45) | [i] | ||
| 17 | No OOA(455, 46, S4, 2, 46) | [i] | ||
| 18 | No OOA(456, 46, S4, 2, 47) | [i] | ||
| 19 | No OOA(457, 46, S4, 2, 48) | [i] | ||
| 20 | No OOA(458, 46, S4, 2, 49) | [i] | ||
| 21 | No OOA(459, 46, S4, 2, 50) | [i] | ||
| 22 | No OOA(460, 46, S4, 2, 51) | [i] | ||
| 23 | No OOA(461, 46, S4, 2, 52) | [i] | ||
| 24 | No OOA(462, 46, S4, 2, 53) | [i] | ||
| 25 | No OOA(463, 46, S4, 2, 54) | [i] | ||
| 26 | No OOA(464, 46, S4, 2, 55) | [i] | ||
| 27 | No OOA(465, 46, S4, 2, 56) | [i] | ||
| 28 | No OOA(466, 46, S4, 2, 57) | [i] | ||
| 29 | No OOA(467, 46, S4, 2, 58) | [i] | ||
| 30 | No OOA(468, 46, S4, 2, 59) | [i] | ||
| 31 | No OOA(469, 46, S4, 2, 60) | [i] | ||
| 32 | No OOA(470, 46, S4, 2, 61) | [i] | ||
| 33 | No OOA(471, 46, S4, 2, 62) | [i] | ||
| 34 | No OOA(472, 46, S4, 2, 63) | [i] | ||
| 35 | No OOA(473, 46, S4, 2, 64) | [i] | ||
| 36 | No OOA(474, 46, S4, 2, 65) | [i] | ||
| 37 | No OOA(440, 46, S4, 2, 31) | [i] | Depth Reduction | |
| 38 | No OOA(440, 46, S4, 3, 31) | [i] | ||
| 39 | No (9, 40, 46)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 40 | No linear OA(4164, 171, F4, 124) (dual of [171, 7, 125]-code) | [i] | Residual Code | |