Information on Result #58241
There is no OA(2115, 126, S2, 58), because the linear programming bound shows that M ≥ 76 098302 758686 433723 742954 201049 726976 / 1575 > 2115
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(2116, 127, S2, 59) | [i] | Truncation | |
| 2 | No OOA(2116, 126, S2, 2, 59) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2117, 126, S2, 2, 60) | [i] | ||
| 4 | No OOA(2118, 126, S2, 2, 61) | [i] | ||
| 5 | No OOA(2119, 126, S2, 2, 62) | [i] | ||
| 6 | No OOA(2120, 126, S2, 2, 63) | [i] | ||
| 7 | No OOA(2122, 126, S2, 2, 65) | [i] | ||
| 8 | No OOA(2123, 126, S2, 2, 66) | [i] | ||
| 9 | No OOA(2124, 126, S2, 2, 67) | [i] | ||
| 10 | No OOA(2125, 126, S2, 2, 68) | [i] | ||
| 11 | No OOA(2126, 126, S2, 2, 69) | [i] | ||
| 12 | No OOA(2127, 126, S2, 2, 70) | [i] | ||
| 13 | No OOA(2128, 126, S2, 2, 71) | [i] | ||
| 14 | No OOA(2129, 126, S2, 2, 72) | [i] | ||
| 15 | No OOA(2130, 126, S2, 2, 73) | [i] | ||
| 16 | No OOA(2131, 126, S2, 2, 74) | [i] | ||
| 17 | No OOA(2132, 126, S2, 2, 75) | [i] | ||
| 18 | No OOA(2133, 126, S2, 2, 76) | [i] | ||
| 19 | No OOA(2134, 126, S2, 2, 77) | [i] | ||
| 20 | No OOA(2135, 126, S2, 2, 78) | [i] | ||
| 21 | No OOA(2136, 126, S2, 2, 79) | [i] | ||
| 22 | No OOA(2137, 126, S2, 2, 80) | [i] | ||
| 23 | No OOA(2138, 126, S2, 2, 81) | [i] | ||
| 24 | No OOA(2139, 126, S2, 2, 82) | [i] | ||
| 25 | No OOA(2140, 126, S2, 2, 83) | [i] | ||
| 26 | No OOA(2141, 126, S2, 2, 84) | [i] | ||
| 27 | No OOA(2142, 126, S2, 2, 85) | [i] | ||
| 28 | No OOA(2143, 126, S2, 2, 86) | [i] | ||
| 29 | No OOA(2144, 126, S2, 2, 87) | [i] | ||
| 30 | No OOA(2145, 126, S2, 2, 88) | [i] | ||
| 31 | No OOA(2146, 126, S2, 2, 89) | [i] | ||
| 32 | No OOA(2147, 126, S2, 2, 90) | [i] | ||
| 33 | No OOA(2148, 126, S2, 2, 91) | [i] | ||
| 34 | No OOA(2149, 126, S2, 2, 92) | [i] | ||
| 35 | No OOA(2150, 126, S2, 2, 93) | [i] | ||
| 36 | No OOA(2151, 126, S2, 2, 94) | [i] | ||
| 37 | No OOA(2152, 126, S2, 2, 95) | [i] | ||
| 38 | No OOA(2153, 126, S2, 2, 96) | [i] | ||
| 39 | No OOA(2154, 126, S2, 2, 97) | [i] | ||
| 40 | No OOA(2155, 126, S2, 2, 98) | [i] | ||
| 41 | No OOA(2156, 126, S2, 2, 99) | [i] | ||
| 42 | No OOA(2157, 126, S2, 2, 100) | [i] | ||
| 43 | No OOA(2158, 126, S2, 2, 101) | [i] | ||
| 44 | No OOA(2159, 126, S2, 2, 102) | [i] | ||
| 45 | No OOA(2160, 126, S2, 2, 103) | [i] | ||
| 46 | No OOA(2161, 126, S2, 2, 104) | [i] | ||
| 47 | No OOA(2162, 126, S2, 2, 105) | [i] | ||
| 48 | No OOA(2163, 126, S2, 2, 106) | [i] | ||
| 49 | No OOA(2115, 126, S2, 2, 58) | [i] | Depth Reduction | |
| 50 | No OOA(2115, 126, S2, 3, 58) | [i] | ||
| 51 | No OOA(2115, 126, S2, 4, 58) | [i] | ||
| 52 | No OOA(2115, 126, S2, 5, 58) | [i] | ||
| 53 | No OOA(2115, 126, S2, 6, 58) | [i] | ||
| 54 | No OOA(2115, 126, S2, 7, 58) | [i] | ||
| 55 | No OOA(2115, 126, S2, 8, 58) | [i] | ||
| 56 | No (57, 115, 126)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 57 | No linear OA(2231, 243, F2, 116) (dual of [243, 12, 117]-code) | [i] | Residual Code | |