Information on Result #58477
There is no OA(2222, 241, S2, 108), because the linear programming bound shows that M ≥ 65 939284 597237 046425 151657 508194 701172 717895 120115 873148 022756 434178 473984 / 7 611275 > 2222
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(2223, 242, S2, 109) | [i] | Truncation | |
| 2 | No OA(2224, 243, S2, 110) | [i] | ||
| 3 | No OA(2225, 244, S2, 111) | [i] | ||
| 4 | No OA(2226, 245, S2, 112) | [i] | ||
| 5 | No OA(2227, 246, S2, 113) | [i] | ||
| 6 | No OA(2228, 247, S2, 114) | [i] | ||
| 7 | No OA(2229, 248, S2, 115) | [i] | ||
| 8 | No OA(2230, 249, S2, 116) | [i] | ||
| 9 | No OA(2231, 250, S2, 117) | [i] | ||
| 10 | No OA(2232, 251, S2, 118) | [i] | ||
| 11 | No OA(2233, 252, S2, 119) | [i] | ||
| 12 | No OOA(2223, 241, S2, 2, 109) | [i] | m-Reduction for OOAs | |
| 13 | No OOA(2224, 241, S2, 2, 110) | [i] | ||
| 14 | No OOA(2225, 241, S2, 2, 111) | [i] | ||
| 15 | No OOA(2226, 241, S2, 2, 112) | [i] | ||
| 16 | No OOA(2227, 241, S2, 2, 113) | [i] | ||
| 17 | No OOA(2228, 241, S2, 2, 114) | [i] | ||
| 18 | No OOA(2229, 241, S2, 2, 115) | [i] | ||
| 19 | No OOA(2230, 241, S2, 2, 116) | [i] | ||
| 20 | No OOA(2231, 241, S2, 2, 117) | [i] | ||
| 21 | No OOA(2232, 241, S2, 2, 118) | [i] | ||
| 22 | No OOA(2233, 241, S2, 2, 119) | [i] | ||
| 23 | No OOA(2235, 241, S2, 2, 121) | [i] | ||
| 24 | No OOA(2236, 241, S2, 2, 122) | [i] | ||
| 25 | No OOA(2237, 241, S2, 2, 123) | [i] | ||
| 26 | No OOA(2238, 241, S2, 2, 124) | [i] | ||
| 27 | No OOA(2239, 241, S2, 2, 125) | [i] | ||
| 28 | No OOA(2240, 241, S2, 2, 126) | [i] | ||
| 29 | No OOA(2241, 241, S2, 2, 127) | [i] | ||
| 30 | No OOA(2242, 241, S2, 2, 128) | [i] | ||
| 31 | No OOA(2243, 241, S2, 2, 129) | [i] | ||
| 32 | No OOA(2244, 241, S2, 2, 130) | [i] | ||
| 33 | No OOA(2245, 241, S2, 2, 131) | [i] | ||
| 34 | No OOA(2246, 241, S2, 2, 132) | [i] | ||
| 35 | No OOA(2247, 241, S2, 2, 133) | [i] | ||
| 36 | No OOA(2248, 241, S2, 2, 134) | [i] | ||
| 37 | No OOA(2249, 241, S2, 2, 135) | [i] | ||
| 38 | No OOA(2250, 241, S2, 2, 136) | [i] | ||
| 39 | No OOA(2251, 241, S2, 2, 137) | [i] | ||
| 40 | No OOA(2252, 241, S2, 2, 138) | [i] | ||
| 41 | No OOA(2253, 241, S2, 2, 139) | [i] | ||
| 42 | No OOA(2254, 241, S2, 2, 140) | [i] | ||
| 43 | No OOA(2255, 241, S2, 2, 141) | [i] | ||
| 44 | No OOA(2256, 241, S2, 2, 142) | [i] | ||
| 45 | No OOA(2257, 241, S2, 2, 143) | [i] | ||
| 46 | No OOA(2258, 241, S2, 2, 144) | [i] | ||
| 47 | No OOA(2259, 241, S2, 2, 145) | [i] | ||
| 48 | No OOA(2260, 241, S2, 2, 146) | [i] | ||
| 49 | No OOA(2222, 241, S2, 2, 108) | [i] | Depth Reduction | |
| 50 | No OOA(2222, 241, S2, 3, 108) | [i] | ||
| 51 | No OOA(2222, 241, S2, 4, 108) | [i] | ||
| 52 | No OOA(2222, 241, S2, 5, 108) | [i] | ||
| 53 | No OOA(2222, 241, S2, 6, 108) | [i] | ||
| 54 | No OOA(2222, 241, S2, 7, 108) | [i] | ||
| 55 | No OOA(2222, 241, S2, 8, 108) | [i] | ||
| 56 | No (114, 222, 241)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |