Information on Result #60497
There is no OA(548, 56, S5, 39), because the linear programming bound shows that M ≥ 877520 278663 723729 550838 470458 984375 / 207 > 548
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(549, 57, S5, 40) | [i] | Truncation | |
| 2 | No OOA(549, 56, S5, 2, 40) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(552, 56, S5, 2, 43) | [i] | ||
| 4 | No OOA(553, 56, S5, 2, 44) | [i] | ||
| 5 | No OOA(554, 56, S5, 2, 45) | [i] | ||
| 6 | No OOA(555, 56, S5, 2, 46) | [i] | ||
| 7 | No OOA(556, 56, S5, 2, 47) | [i] | ||
| 8 | No OOA(557, 56, S5, 2, 48) | [i] | ||
| 9 | No OOA(558, 56, S5, 2, 49) | [i] | ||
| 10 | No OOA(559, 56, S5, 2, 50) | [i] | ||
| 11 | No OOA(560, 56, S5, 2, 51) | [i] | ||
| 12 | No OOA(561, 56, S5, 2, 52) | [i] | ||
| 13 | No OOA(562, 56, S5, 2, 53) | [i] | ||
| 14 | No OOA(563, 56, S5, 2, 54) | [i] | ||
| 15 | No OOA(564, 56, S5, 2, 55) | [i] | ||
| 16 | No OOA(565, 56, S5, 2, 56) | [i] | ||
| 17 | No OOA(566, 56, S5, 2, 57) | [i] | ||
| 18 | No OOA(567, 56, S5, 2, 58) | [i] | ||
| 19 | No OOA(568, 56, S5, 2, 59) | [i] | ||
| 20 | No OOA(569, 56, S5, 2, 60) | [i] | ||
| 21 | No OOA(570, 56, S5, 2, 61) | [i] | ||
| 22 | No OOA(571, 56, S5, 2, 62) | [i] | ||
| 23 | No OOA(572, 56, S5, 2, 63) | [i] | ||
| 24 | No OOA(573, 56, S5, 2, 64) | [i] | ||
| 25 | No OOA(574, 56, S5, 2, 65) | [i] | ||
| 26 | No OOA(575, 56, S5, 2, 66) | [i] | ||
| 27 | No OOA(576, 56, S5, 2, 67) | [i] | ||
| 28 | No OOA(577, 56, S5, 2, 68) | [i] | ||
| 29 | No OOA(578, 56, S5, 2, 69) | [i] | ||
| 30 | No OOA(579, 56, S5, 2, 70) | [i] | ||
| 31 | No OOA(580, 56, S5, 2, 71) | [i] | ||
| 32 | No OOA(581, 56, S5, 2, 72) | [i] | ||
| 33 | No OOA(582, 56, S5, 2, 73) | [i] | ||
| 34 | No OOA(583, 56, S5, 2, 74) | [i] | ||
| 35 | No OOA(584, 56, S5, 2, 75) | [i] | ||
| 36 | No OOA(585, 56, S5, 2, 76) | [i] | ||
| 37 | No OOA(586, 56, S5, 2, 77) | [i] | ||
| 38 | No OOA(587, 56, S5, 2, 78) | [i] | ||
| 39 | No OOA(588, 56, S5, 2, 79) | [i] | ||
| 40 | No OOA(589, 56, S5, 2, 80) | [i] | ||
| 41 | No OOA(590, 56, S5, 2, 81) | [i] | ||
| 42 | No OOA(591, 56, S5, 2, 82) | [i] | ||
| 43 | No OOA(592, 56, S5, 2, 83) | [i] | ||
| 44 | No OOA(593, 56, S5, 2, 84) | [i] | ||
| 45 | No OOA(594, 56, S5, 2, 85) | [i] | ||
| 46 | No OOA(548, 56, S5, 2, 39) | [i] | Depth Reduction | |
| 47 | No OOA(548, 56, S5, 3, 39) | [i] | ||
| 48 | No (9, 48, 56)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |