Information on Result #58499
There is no OA(2244, 300, S2, 110), because the linear programming bound shows that M ≥ 727209 932038 995964 963694 786156 506719 769259 430085 807852 102717 045283 079365 167115 254635 995296 956416 / 21378 491075 472167 578125 > 2244
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(2244, 300, S2, 111) | [i] | Strength Reduction | |
| 2 | No OA(2244, 300, S2, 112) | [i] | ||
| 3 | No OA(2243, 299, S2, 110) | [i] | Code Embedding in Larger Space | |
| 4 | No OA(2242, 298, S2, 110) | [i] | ||
| 5 | No OA(2245, 301, S2, 111) | [i] | Truncation | |
| 6 | No OA(2246, 302, S2, 112) | [i] | ||
| 7 | No OA(2247, 303, S2, 113) | [i] | ||
| 8 | No OA(2248, 304, S2, 114) | [i] | ||
| 9 | No OA(2249, 305, S2, 115) | [i] | ||
| 10 | No OA(2250, 306, S2, 116) | [i] | ||
| 11 | No OA(2251, 307, S2, 117) | [i] | ||
| 12 | No OA(2252, 308, S2, 118) | [i] | ||
| 13 | No OA(2253, 309, S2, 119) | [i] | ||
| 14 | No OA(2254, 310, S2, 120) | [i] | ||
| 15 | No OA(2255, 311, S2, 121) | [i] | ||
| 16 | No OA(2256, 312, S2, 122) | [i] | ||
| 17 | No OA(2257, 313, S2, 123) | [i] | ||
| 18 | No OA(2258, 314, S2, 124) | [i] | ||
| 19 | No OA(2259, 315, S2, 125) | [i] | ||
| 20 | No OA(2260, 316, S2, 126) | [i] | ||
| 21 | No OOA(2245, 300, S2, 2, 111) | [i] | m-Reduction for OOAs | |
| 22 | No OOA(2246, 300, S2, 2, 112) | [i] | ||
| 23 | No OOA(2247, 300, S2, 2, 113) | [i] | ||
| 24 | No OOA(2248, 300, S2, 2, 114) | [i] | ||
| 25 | No OOA(2249, 300, S2, 2, 115) | [i] | ||
| 26 | No OOA(2250, 300, S2, 2, 116) | [i] | ||
| 27 | No OOA(2251, 300, S2, 2, 117) | [i] | ||
| 28 | No OOA(2252, 300, S2, 2, 118) | [i] | ||
| 29 | No OOA(2253, 300, S2, 2, 119) | [i] | ||
| 30 | No OOA(2254, 300, S2, 2, 120) | [i] | ||
| 31 | No OOA(2255, 300, S2, 2, 121) | [i] | ||
| 32 | No OOA(2256, 300, S2, 2, 122) | [i] | ||
| 33 | No OOA(2257, 300, S2, 2, 123) | [i] | ||
| 34 | No OOA(2258, 300, S2, 2, 124) | [i] | ||
| 35 | No OOA(2259, 300, S2, 2, 125) | [i] | ||
| 36 | No OOA(2260, 300, S2, 2, 126) | [i] | ||
| 37 | No OOA(2244, 300, S2, 2, 110) | [i] | Depth Reduction | |
| 38 | No OOA(2244, 300, S2, 3, 110) | [i] | ||
| 39 | No OOA(2244, 300, S2, 4, 110) | [i] | ||
| 40 | No OOA(2244, 300, S2, 5, 110) | [i] | ||
| 41 | No OOA(2244, 300, S2, 6, 110) | [i] | ||
| 42 | No OOA(2244, 300, S2, 7, 110) | [i] | ||
| 43 | No OOA(2244, 300, S2, 8, 110) | [i] | ||
| 44 | No (134, 244, 300)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 45 | No linear OA(2245, 332, F2, 110) (dual of [332, 87, 111]-code) | [i] | Construction Y1 (Bound) | |