Information on Result #60385
There is no OA(536, 41, S5, 30), because the linear programming bound shows that M ≥ 187355 908565 223217 010498 046875 / 10323 > 536
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(537, 42, S5, 31) | [i] | Truncation | |
| 2 | No OA(538, 43, S5, 32) | [i] | ||
| 3 | No OOA(537, 41, S5, 2, 31) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(538, 41, S5, 2, 32) | [i] | ||
| 5 | No OOA(539, 41, S5, 2, 33) | [i] | ||
| 6 | No OOA(540, 41, S5, 2, 34) | [i] | ||
| 7 | No OOA(541, 41, S5, 2, 35) | [i] | ||
| 8 | No OOA(542, 41, S5, 2, 36) | [i] | ||
| 9 | No OOA(543, 41, S5, 2, 37) | [i] | ||
| 10 | No OOA(544, 41, S5, 2, 38) | [i] | ||
| 11 | No OOA(545, 41, S5, 2, 39) | [i] | ||
| 12 | No OOA(546, 41, S5, 2, 40) | [i] | ||
| 13 | No OOA(547, 41, S5, 2, 41) | [i] | ||
| 14 | No OOA(548, 41, S5, 2, 42) | [i] | ||
| 15 | No OOA(549, 41, S5, 2, 43) | [i] | ||
| 16 | No OOA(550, 41, S5, 2, 44) | [i] | ||
| 17 | No OOA(551, 41, S5, 2, 45) | [i] | ||
| 18 | No OOA(552, 41, S5, 2, 46) | [i] | ||
| 19 | No OOA(553, 41, S5, 2, 47) | [i] | ||
| 20 | No OOA(554, 41, S5, 2, 48) | [i] | ||
| 21 | No OOA(555, 41, S5, 2, 49) | [i] | ||
| 22 | No OOA(556, 41, S5, 2, 50) | [i] | ||
| 23 | No OOA(557, 41, S5, 2, 51) | [i] | ||
| 24 | No OOA(558, 41, S5, 2, 52) | [i] | ||
| 25 | No OOA(559, 41, S5, 2, 53) | [i] | ||
| 26 | No OOA(560, 41, S5, 2, 54) | [i] | ||
| 27 | No OOA(561, 41, S5, 2, 55) | [i] | ||
| 28 | No OOA(562, 41, S5, 2, 56) | [i] | ||
| 29 | No OOA(563, 41, S5, 2, 57) | [i] | ||
| 30 | No OOA(564, 41, S5, 2, 58) | [i] | ||
| 31 | No OOA(565, 41, S5, 2, 59) | [i] | ||
| 32 | No OOA(566, 41, S5, 2, 60) | [i] | ||
| 33 | No OOA(567, 41, S5, 2, 61) | [i] | ||
| 34 | No OOA(568, 41, S5, 2, 62) | [i] | ||
| 35 | No OOA(536, 41, S5, 2, 30) | [i] | Depth Reduction | |
| 36 | No OOA(536, 41, S5, 3, 30) | [i] | ||
| 37 | No (6, 36, 41)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 38 | No linear OA(57, 43, F5, 5) (dual of [43, 36, 6]-code) | [i] | Construction Y1 (Bound) | |