Information on Result #59740
There is no OA(452, 58, S4, 40), because the linear programming bound shows that M ≥ 44783 560404 862888 296075 530839 523328 / 1927 > 452
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(453, 59, S4, 41) | [i] | Truncation | |
| 2 | No OA(454, 60, S4, 42) | [i] | ||
| 3 | No OA(455, 61, S4, 43) | [i] | ||
| 4 | No OOA(453, 58, S4, 2, 41) | [i] | m-Reduction for OOAs | |
| 5 | No OOA(454, 58, S4, 2, 42) | [i] | ||
| 6 | No OOA(455, 58, S4, 2, 43) | [i] | ||
| 7 | No OOA(456, 58, S4, 2, 44) | [i] | ||
| 8 | No OOA(457, 58, S4, 2, 45) | [i] | ||
| 9 | No OOA(458, 58, S4, 2, 46) | [i] | ||
| 10 | No OOA(459, 58, S4, 2, 47) | [i] | ||
| 11 | No OOA(460, 58, S4, 2, 48) | [i] | ||
| 12 | No OOA(461, 58, S4, 2, 49) | [i] | ||
| 13 | No OOA(462, 58, S4, 2, 50) | [i] | ||
| 14 | No OOA(463, 58, S4, 2, 51) | [i] | ||
| 15 | No OOA(464, 58, S4, 2, 52) | [i] | ||
| 16 | No OOA(465, 58, S4, 2, 53) | [i] | ||
| 17 | No OOA(466, 58, S4, 2, 54) | [i] | ||
| 18 | No OOA(467, 58, S4, 2, 55) | [i] | ||
| 19 | No OOA(468, 58, S4, 2, 56) | [i] | ||
| 20 | No OOA(469, 58, S4, 2, 57) | [i] | ||
| 21 | No OOA(470, 58, S4, 2, 58) | [i] | ||
| 22 | No OOA(471, 58, S4, 2, 59) | [i] | ||
| 23 | No OOA(472, 58, S4, 2, 60) | [i] | ||
| 24 | No OOA(473, 58, S4, 2, 61) | [i] | ||
| 25 | No OOA(474, 58, S4, 2, 62) | [i] | ||
| 26 | No OOA(475, 58, S4, 2, 63) | [i] | ||
| 27 | No OOA(476, 58, S4, 2, 64) | [i] | ||
| 28 | No OOA(477, 58, S4, 2, 65) | [i] | ||
| 29 | No OOA(478, 58, S4, 2, 66) | [i] | ||
| 30 | No OOA(479, 58, S4, 2, 67) | [i] | ||
| 31 | No OOA(480, 58, S4, 2, 68) | [i] | ||
| 32 | No OOA(481, 58, S4, 2, 69) | [i] | ||
| 33 | No OOA(482, 58, S4, 2, 70) | [i] | ||
| 34 | No OOA(483, 58, S4, 2, 71) | [i] | ||
| 35 | No OOA(484, 58, S4, 2, 72) | [i] | ||
| 36 | No OOA(485, 58, S4, 2, 73) | [i] | ||
| 37 | No OOA(486, 58, S4, 2, 74) | [i] | ||
| 38 | No OOA(487, 58, S4, 2, 75) | [i] | ||
| 39 | No OOA(488, 58, S4, 2, 76) | [i] | ||
| 40 | No OOA(489, 58, S4, 2, 77) | [i] | ||
| 41 | No OOA(490, 58, S4, 2, 78) | [i] | ||
| 42 | No OOA(491, 58, S4, 2, 79) | [i] | ||
| 43 | No OOA(492, 58, S4, 2, 80) | [i] | ||
| 44 | No OOA(493, 58, S4, 2, 81) | [i] | ||
| 45 | No OOA(494, 58, S4, 2, 82) | [i] | ||
| 46 | No OOA(452, 58, S4, 2, 40) | [i] | Depth Reduction | |
| 47 | No OOA(452, 58, S4, 3, 40) | [i] | ||
| 48 | No (12, 52, 58)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |