Information on Result #2026458
There is no OA(2134, 299, S2, 54), because adding a parity check bit would yield OA(2135, 300, S2, 55), but
- the linear programming bound shows that M ≥ 48 453210 492851 688423 719096 496218 730424 623843 475355 389039 083584 741794 713780 743579 191978 463824 301856 084801 540325 376000 / 597 625262 017249 457875 009714 443330 928540 125079 140107 131223 189140 092691 487281 > 2135 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(2134, 299, S2, 55) | [i] | Strength Reduction | |
| 2 | No OA(2133, 298, S2, 54) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2132, 297, S2, 54) | [i] | ||
| 4 | No OA(2131, 296, S2, 54) | [i] | ||
| 5 | No OA(2130, 295, S2, 54) | [i] | ||
| 6 | No OA(2129, 294, S2, 54) | [i] | ||
| 7 | No OA(2128, 293, S2, 54) | [i] | ||
| 8 | No OA(2127, 292, S2, 54) | [i] | ||
| 9 | No OOA(2135, 299, S2, 2, 55) | [i] | m-Reduction for OOAs | |
| 10 | No OOA(2134, 299, S2, 2, 54) | [i] | Depth Reduction | |
| 11 | No OOA(2134, 299, S2, 3, 54) | [i] | ||
| 12 | No OOA(2134, 299, S2, 4, 54) | [i] | ||
| 13 | No OOA(2134, 299, S2, 5, 54) | [i] | ||
| 14 | No OOA(2134, 299, S2, 6, 54) | [i] | ||
| 15 | No OOA(2134, 299, S2, 7, 54) | [i] | ||
| 16 | No OOA(2134, 299, S2, 8, 54) | [i] | ||
| 17 | No (80, 134, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 18 | No linear OA(2242, 408, F2, 108) (dual of [408, 166, 109]-code) | [i] | Residual Code | |