Information on Result #60563
There is no OA(554, 60, S5, 44), because the linear programming bound shows that M ≥ 6938 893903 907228 377647 697925 567626 953125 / 117 > 554
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(555, 61, S5, 45) | [i] | Truncation | |
| 2 | No OA(556, 62, S5, 46) | [i] | ||
| 3 | No OOA(555, 60, S5, 2, 45) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(556, 60, S5, 2, 46) | [i] | ||
| 5 | No OOA(557, 60, S5, 2, 47) | [i] | ||
| 6 | No OOA(558, 60, S5, 2, 48) | [i] | ||
| 7 | No OOA(559, 60, S5, 2, 49) | [i] | ||
| 8 | No OOA(560, 60, S5, 2, 50) | [i] | ||
| 9 | No OOA(561, 60, S5, 2, 51) | [i] | ||
| 10 | No OOA(562, 60, S5, 2, 52) | [i] | ||
| 11 | No OOA(563, 60, S5, 2, 53) | [i] | ||
| 12 | No OOA(564, 60, S5, 2, 54) | [i] | ||
| 13 | No OOA(565, 60, S5, 2, 55) | [i] | ||
| 14 | No OOA(566, 60, S5, 2, 56) | [i] | ||
| 15 | No OOA(567, 60, S5, 2, 57) | [i] | ||
| 16 | No OOA(568, 60, S5, 2, 58) | [i] | ||
| 17 | No OOA(569, 60, S5, 2, 59) | [i] | ||
| 18 | No OOA(570, 60, S5, 2, 60) | [i] | ||
| 19 | No OOA(571, 60, S5, 2, 61) | [i] | ||
| 20 | No OOA(572, 60, S5, 2, 62) | [i] | ||
| 21 | No OOA(573, 60, S5, 2, 63) | [i] | ||
| 22 | No OOA(574, 60, S5, 2, 64) | [i] | ||
| 23 | No OOA(575, 60, S5, 2, 65) | [i] | ||
| 24 | No OOA(576, 60, S5, 2, 66) | [i] | ||
| 25 | No OOA(577, 60, S5, 2, 67) | [i] | ||
| 26 | No OOA(578, 60, S5, 2, 68) | [i] | ||
| 27 | No OOA(579, 60, S5, 2, 69) | [i] | ||
| 28 | No OOA(580, 60, S5, 2, 70) | [i] | ||
| 29 | No OOA(581, 60, S5, 2, 71) | [i] | ||
| 30 | No OOA(582, 60, S5, 2, 72) | [i] | ||
| 31 | No OOA(583, 60, S5, 2, 73) | [i] | ||
| 32 | No OOA(584, 60, S5, 2, 74) | [i] | ||
| 33 | No OOA(585, 60, S5, 2, 75) | [i] | ||
| 34 | No OOA(586, 60, S5, 2, 76) | [i] | ||
| 35 | No OOA(587, 60, S5, 2, 77) | [i] | ||
| 36 | No OOA(588, 60, S5, 2, 78) | [i] | ||
| 37 | No OOA(589, 60, S5, 2, 79) | [i] | ||
| 38 | No OOA(590, 60, S5, 2, 80) | [i] | ||
| 39 | No OOA(591, 60, S5, 2, 81) | [i] | ||
| 40 | No OOA(592, 60, S5, 2, 82) | [i] | ||
| 41 | No OOA(593, 60, S5, 2, 83) | [i] | ||
| 42 | No OOA(594, 60, S5, 2, 84) | [i] | ||
| 43 | No OOA(595, 60, S5, 2, 85) | [i] | ||
| 44 | No OOA(596, 60, S5, 2, 86) | [i] | ||
| 45 | No OOA(597, 60, S5, 2, 87) | [i] | ||
| 46 | No OOA(598, 60, S5, 2, 88) | [i] | ||
| 47 | No OOA(599, 60, S5, 2, 89) | [i] | ||
| 48 | No OOA(5100, 60, S5, 2, 90) | [i] | ||
| 49 | No OOA(5101, 60, S5, 2, 91) | [i] | ||
| 50 | No OOA(5102, 60, S5, 2, 92) | [i] | ||
| 51 | No OOA(5103, 60, S5, 2, 93) | [i] | ||
| 52 | No OOA(5104, 60, S5, 2, 94) | [i] | ||
| 53 | No OOA(554, 60, S5, 2, 44) | [i] | Depth Reduction | |
| 54 | No OOA(554, 60, S5, 3, 44) | [i] | ||
| 55 | No (10, 54, 60)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |