Information on Result #2026399
There is no OA(263, 68, S2, 34), because adding a parity check bit would yield OA(264, 69, S2, 35), but
- the (dual) Plotkin bound shows that M ≥ 73 786976 294838 206464 / 3 > 264 [i]
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 OOA(264, 68, S2, 2, 35) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(265, 68, S2, 2, 36) | [i] | ||
| 3 | No OOA(266, 68, S2, 2, 37) | [i] | ||
| 4 | No OOA(267, 68, S2, 2, 38) | [i] | ||
| 5 | No OOA(268, 68, S2, 2, 39) | [i] | ||
| 6 | No OOA(269, 68, S2, 2, 40) | [i] | ||
| 7 | No OOA(270, 68, S2, 2, 41) | [i] | ||
| 8 | No OOA(271, 68, S2, 2, 42) | [i] | ||
| 9 | No OOA(272, 68, S2, 2, 43) | [i] | ||
| 10 | No OOA(273, 68, S2, 2, 44) | [i] | ||
| 11 | No OOA(274, 68, S2, 2, 45) | [i] | ||
| 12 | No OOA(275, 68, S2, 2, 46) | [i] | ||
| 13 | No OOA(276, 68, S2, 2, 47) | [i] | ||
| 14 | No OOA(277, 68, S2, 2, 48) | [i] | ||
| 15 | No OOA(278, 68, S2, 2, 49) | [i] | ||
| 16 | No OOA(279, 68, S2, 2, 50) | [i] | ||
| 17 | No OOA(280, 68, S2, 2, 51) | [i] | ||
| 18 | No OOA(281, 68, S2, 2, 52) | [i] | ||
| 19 | No OOA(282, 68, S2, 2, 53) | [i] | ||
| 20 | No OOA(283, 68, S2, 2, 54) | [i] | ||
| 21 | No OOA(284, 68, S2, 2, 55) | [i] | ||
| 22 | No OOA(285, 68, S2, 2, 56) | [i] | ||
| 23 | No OOA(286, 68, S2, 2, 57) | [i] | ||
| 24 | No OOA(287, 68, S2, 2, 58) | [i] | ||
| 25 | No OOA(263, 68, S2, 2, 34) | [i] | Depth Reduction | |
| 26 | No OOA(263, 68, S2, 3, 34) | [i] | ||
| 27 | No OOA(263, 68, S2, 4, 34) | [i] | ||
| 28 | No OOA(263, 68, S2, 5, 34) | [i] | ||
| 29 | No OOA(263, 68, S2, 6, 34) | [i] | ||
| 30 | No OOA(263, 68, S2, 7, 34) | [i] | ||
| 31 | No OOA(263, 68, S2, 8, 34) | [i] | ||
| 32 | No (29, 63, 68)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |