Information on Result #58311
There is no OA(2139, 150, S2, 70), because the linear programming bound shows that M ≥ 6082 528252 899227 461853 867158 864840 600756 158464 / 8127 > 2139
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(2140, 151, S2, 71) | [i] | Truncation | |
| 2 | No OA(2141, 152, S2, 72) | [i] | ||
| 3 | No OA(2142, 153, S2, 73) | [i] | ||
| 4 | No OA(2143, 154, S2, 74) | [i] | ||
| 5 | No OA(2144, 155, S2, 75) | [i] | ||
| 6 | No OOA(2140, 150, S2, 2, 71) | [i] | m-Reduction for OOAs | |
| 7 | No OOA(2141, 150, S2, 2, 72) | [i] | ||
| 8 | No OOA(2142, 150, S2, 2, 73) | [i] | ||
| 9 | No OOA(2143, 150, S2, 2, 74) | [i] | ||
| 10 | No OOA(2144, 150, S2, 2, 75) | [i] | ||
| 11 | No OOA(2146, 150, S2, 2, 77) | [i] | ||
| 12 | No OOA(2147, 150, S2, 2, 78) | [i] | ||
| 13 | No OOA(2148, 150, S2, 2, 79) | [i] | ||
| 14 | No OOA(2149, 150, S2, 2, 80) | [i] | ||
| 15 | No OOA(2150, 150, S2, 2, 81) | [i] | ||
| 16 | No OOA(2151, 150, S2, 2, 82) | [i] | ||
| 17 | No OOA(2152, 150, S2, 2, 83) | [i] | ||
| 18 | No OOA(2153, 150, S2, 2, 84) | [i] | ||
| 19 | No OOA(2154, 150, S2, 2, 85) | [i] | ||
| 20 | No OOA(2155, 150, S2, 2, 86) | [i] | ||
| 21 | No OOA(2156, 150, S2, 2, 87) | [i] | ||
| 22 | No OOA(2157, 150, S2, 2, 88) | [i] | ||
| 23 | No OOA(2158, 150, S2, 2, 89) | [i] | ||
| 24 | No OOA(2159, 150, S2, 2, 90) | [i] | ||
| 25 | No OOA(2160, 150, S2, 2, 91) | [i] | ||
| 26 | No OOA(2161, 150, S2, 2, 92) | [i] | ||
| 27 | No OOA(2162, 150, S2, 2, 93) | [i] | ||
| 28 | No OOA(2163, 150, S2, 2, 94) | [i] | ||
| 29 | No OOA(2164, 150, S2, 2, 95) | [i] | ||
| 30 | No OOA(2165, 150, S2, 2, 96) | [i] | ||
| 31 | No OOA(2166, 150, S2, 2, 97) | [i] | ||
| 32 | No OOA(2167, 150, S2, 2, 98) | [i] | ||
| 33 | No OOA(2168, 150, S2, 2, 99) | [i] | ||
| 34 | No OOA(2169, 150, S2, 2, 100) | [i] | ||
| 35 | No OOA(2170, 150, S2, 2, 101) | [i] | ||
| 36 | No OOA(2171, 150, S2, 2, 102) | [i] | ||
| 37 | No OOA(2172, 150, S2, 2, 103) | [i] | ||
| 38 | No OOA(2173, 150, S2, 2, 104) | [i] | ||
| 39 | No OOA(2174, 150, S2, 2, 105) | [i] | ||
| 40 | No OOA(2175, 150, S2, 2, 106) | [i] | ||
| 41 | No OOA(2176, 150, S2, 2, 107) | [i] | ||
| 42 | No OOA(2177, 150, S2, 2, 108) | [i] | ||
| 43 | No OOA(2178, 150, S2, 2, 109) | [i] | ||
| 44 | No OOA(2179, 150, S2, 2, 110) | [i] | ||
| 45 | No OOA(2180, 150, S2, 2, 111) | [i] | ||
| 46 | No OOA(2181, 150, S2, 2, 112) | [i] | ||
| 47 | No OOA(2182, 150, S2, 2, 113) | [i] | ||
| 48 | No OOA(2183, 150, S2, 2, 114) | [i] | ||
| 49 | No OOA(2184, 150, S2, 2, 115) | [i] | ||
| 50 | No OOA(2185, 150, S2, 2, 116) | [i] | ||
| 51 | No OOA(2186, 150, S2, 2, 117) | [i] | ||
| 52 | No OOA(2187, 150, S2, 2, 118) | [i] | ||
| 53 | No OOA(2188, 150, S2, 2, 119) | [i] | ||
| 54 | No OOA(2189, 150, S2, 2, 120) | [i] | ||
| 55 | No OOA(2190, 150, S2, 2, 121) | [i] | ||
| 56 | No OOA(2191, 150, S2, 2, 122) | [i] | ||
| 57 | No OOA(2192, 150, S2, 2, 123) | [i] | ||
| 58 | No OOA(2193, 150, S2, 2, 124) | [i] | ||
| 59 | No OOA(2194, 150, S2, 2, 125) | [i] | ||
| 60 | No OOA(2195, 150, S2, 2, 126) | [i] | ||
| 61 | No OOA(2196, 150, S2, 2, 127) | [i] | ||
| 62 | No OOA(2139, 150, S2, 2, 70) | [i] | Depth Reduction | |
| 63 | No OOA(2139, 150, S2, 3, 70) | [i] | ||
| 64 | No OOA(2139, 150, S2, 4, 70) | [i] | ||
| 65 | No OOA(2139, 150, S2, 5, 70) | [i] | ||
| 66 | No OOA(2139, 150, S2, 6, 70) | [i] | ||
| 67 | No OOA(2139, 150, S2, 7, 70) | [i] | ||
| 68 | No OOA(2139, 150, S2, 8, 70) | [i] | ||
| 69 | No (69, 139, 150)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 70 | No linear OA(2140, 156, F2, 70) (dual of [156, 16, 71]-code) | [i] | Construction Y1 (Bound) | |