Information on Result #58615
There is no OA(334, 64, S3, 22), because the linear programming bound shows that M ≥ 14 111105 234476 582146 780186 612485 543683 142605 088372 524627 579947 507340 583313 / 837 608500 983525 185318 819414 283441 298949 343873 086193 807233 > 334
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(334, 64, S3, 2, 22) | [i] | Depth Reduction | |
| 2 | No (12, 34, 64)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 3 | No linear OA(333, 67, F3, 21) (dual of [67, 34, 22]-code) | [i] | Construction Y1 (Bound) | |