Information on Result #2026557
There is no OA(2219, 299, S2, 96), because adding a parity check bit would yield OA(2220, 300, S2, 97), but
- the linear programming bound shows that M ≥ 2 707506 179671 220537 436761 186277 555172 982275 381427 765331 317661 637213 928123 767152 572244 071765 637582 553088 / 1 434637 915544 533146 412054 075529 090625 > 2220 [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(2219, 299, S2, 97) | [i] | Strength Reduction | |
| 2 | No OA(2218, 298, S2, 96) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2217, 297, S2, 96) | [i] | ||
| 4 | No OA(2216, 296, S2, 96) | [i] | ||
| 5 | No OA(2215, 295, S2, 96) | [i] | ||
| 6 | No OA(2214, 294, S2, 96) | [i] | ||
| 7 | No OA(2213, 293, S2, 96) | [i] | ||
| 8 | No OA(2212, 292, S2, 96) | [i] | ||
| 9 | No OA(2211, 291, S2, 96) | [i] | ||
| 10 | No OA(2210, 290, S2, 96) | [i] | ||
| 11 | No OA(2209, 289, S2, 96) | [i] | ||
| 12 | No OA(2208, 288, S2, 96) | [i] | ||
| 13 | No OA(2207, 287, S2, 96) | [i] | ||
| 14 | No OA(2206, 286, S2, 96) | [i] | ||
| 15 | No OA(2205, 285, S2, 96) | [i] | ||
| 16 | No OA(2204, 284, S2, 96) | [i] | ||
| 17 | No OA(2203, 283, S2, 96) | [i] | ||
| 18 | No OA(2202, 282, S2, 96) | [i] | ||
| 19 | No OA(2201, 281, S2, 96) | [i] | ||
| 20 | No OA(2200, 280, S2, 96) | [i] | ||
| 21 | No OA(2199, 279, S2, 96) | [i] | ||
| 22 | No OA(2198, 278, S2, 96) | [i] | ||
| 23 | No OA(2197, 277, S2, 96) | [i] | ||
| 24 | No OA(2196, 276, S2, 96) | [i] | ||
| 25 | No OA(2195, 275, S2, 96) | [i] | ||
| 26 | No OA(2194, 274, S2, 96) | [i] | ||
| 27 | No OA(2193, 273, S2, 96) | [i] | ||
| 28 | No OA(2192, 272, S2, 96) | [i] | ||
| 29 | No OA(2191, 271, S2, 96) | [i] | ||
| 30 | No OA(2190, 270, S2, 96) | [i] | ||
| 31 | No OA(2189, 269, S2, 96) | [i] | ||
| 32 | No OA(2188, 268, S2, 96) | [i] | ||
| 33 | No OA(2187, 267, S2, 96) | [i] | ||
| 34 | No OOA(2220, 299, S2, 2, 97) | [i] | m-Reduction for OOAs | |
| 35 | No OOA(2219, 299, S2, 2, 96) | [i] | Depth Reduction | |
| 36 | No OOA(2219, 299, S2, 3, 96) | [i] | ||
| 37 | No OOA(2219, 299, S2, 4, 96) | [i] | ||
| 38 | No OOA(2219, 299, S2, 5, 96) | [i] | ||
| 39 | No OOA(2219, 299, S2, 6, 96) | [i] | ||
| 40 | No OOA(2219, 299, S2, 7, 96) | [i] | ||
| 41 | No OOA(2219, 299, S2, 8, 96) | [i] | ||
| 42 | No (123, 219, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 43 | No linear OA(2220, 349, F2, 96) (dual of [349, 129, 97]-code) | [i] | Construction Y1 (Bound) | |