Information on Result #58242
There is no OA(2116, 128, S2, 58), because the linear programming bound shows that M ≥ 156 848903 502620 073002 649233 113080 659968 / 1575 > 2116
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(2117, 129, S2, 59) | [i] | Truncation | |
| 2 | No OOA(2117, 128, S2, 2, 59) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2118, 128, S2, 2, 60) | [i] | ||
| 4 | No OOA(2119, 128, S2, 2, 61) | [i] | ||
| 5 | No OOA(2120, 128, S2, 2, 62) | [i] | ||
| 6 | No OOA(2121, 128, S2, 2, 63) | [i] | ||
| 7 | No OOA(2123, 128, S2, 2, 65) | [i] | ||
| 8 | No OOA(2124, 128, S2, 2, 66) | [i] | ||
| 9 | No OOA(2125, 128, S2, 2, 67) | [i] | ||
| 10 | No OOA(2126, 128, S2, 2, 68) | [i] | ||
| 11 | No OOA(2127, 128, S2, 2, 69) | [i] | ||
| 12 | No OOA(2128, 128, S2, 2, 70) | [i] | ||
| 13 | No OOA(2129, 128, S2, 2, 71) | [i] | ||
| 14 | No OOA(2130, 128, S2, 2, 72) | [i] | ||
| 15 | No OOA(2131, 128, S2, 2, 73) | [i] | ||
| 16 | No OOA(2132, 128, S2, 2, 74) | [i] | ||
| 17 | No OOA(2133, 128, S2, 2, 75) | [i] | ||
| 18 | No OOA(2134, 128, S2, 2, 76) | [i] | ||
| 19 | No OOA(2135, 128, S2, 2, 77) | [i] | ||
| 20 | No OOA(2136, 128, S2, 2, 78) | [i] | ||
| 21 | No OOA(2137, 128, S2, 2, 79) | [i] | ||
| 22 | No OOA(2138, 128, S2, 2, 80) | [i] | ||
| 23 | No OOA(2139, 128, S2, 2, 81) | [i] | ||
| 24 | No OOA(2140, 128, S2, 2, 82) | [i] | ||
| 25 | No OOA(2141, 128, S2, 2, 83) | [i] | ||
| 26 | No OOA(2142, 128, S2, 2, 84) | [i] | ||
| 27 | No OOA(2143, 128, S2, 2, 85) | [i] | ||
| 28 | No OOA(2144, 128, S2, 2, 86) | [i] | ||
| 29 | No OOA(2145, 128, S2, 2, 87) | [i] | ||
| 30 | No OOA(2146, 128, S2, 2, 88) | [i] | ||
| 31 | No OOA(2147, 128, S2, 2, 89) | [i] | ||
| 32 | No OOA(2148, 128, S2, 2, 90) | [i] | ||
| 33 | No OOA(2149, 128, S2, 2, 91) | [i] | ||
| 34 | No OOA(2150, 128, S2, 2, 92) | [i] | ||
| 35 | No OOA(2151, 128, S2, 2, 93) | [i] | ||
| 36 | No OOA(2152, 128, S2, 2, 94) | [i] | ||
| 37 | No OOA(2153, 128, S2, 2, 95) | [i] | ||
| 38 | No OOA(2154, 128, S2, 2, 96) | [i] | ||
| 39 | No OOA(2155, 128, S2, 2, 97) | [i] | ||
| 40 | No OOA(2156, 128, S2, 2, 98) | [i] | ||
| 41 | No OOA(2157, 128, S2, 2, 99) | [i] | ||
| 42 | No OOA(2158, 128, S2, 2, 100) | [i] | ||
| 43 | No OOA(2159, 128, S2, 2, 101) | [i] | ||
| 44 | No OOA(2160, 128, S2, 2, 102) | [i] | ||
| 45 | No OOA(2161, 128, S2, 2, 103) | [i] | ||
| 46 | No OOA(2162, 128, S2, 2, 104) | [i] | ||
| 47 | No OOA(2163, 128, S2, 2, 105) | [i] | ||
| 48 | No OOA(2164, 128, S2, 2, 106) | [i] | ||
| 49 | No OOA(2165, 128, S2, 2, 107) | [i] | ||
| 50 | No OOA(2166, 128, S2, 2, 108) | [i] | ||
| 51 | No OOA(2116, 128, S2, 2, 58) | [i] | Depth Reduction | |
| 52 | No OOA(2116, 128, S2, 3, 58) | [i] | ||
| 53 | No OOA(2116, 128, S2, 4, 58) | [i] | ||
| 54 | No OOA(2116, 128, S2, 5, 58) | [i] | ||
| 55 | No OOA(2116, 128, S2, 6, 58) | [i] | ||
| 56 | No OOA(2116, 128, S2, 7, 58) | [i] | ||
| 57 | No OOA(2116, 128, S2, 8, 58) | [i] | ||
| 58 | No (58, 116, 128)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 59 | No linear OA(2232, 245, F2, 116) (dual of [245, 13, 117]-code) | [i] | Residual Code | |