Information on Result #557835
There is no linear OOA(3216, 352, F3, 2, 137) (dual of [(352, 2), 488, 138]-NRT-code), because 2 step m-reduction would yield linear OA(3214, 352, F3, 135) (dual of [352, 138, 136]-code), but
- residual code [i] would yield OA(379, 216, S3, 45), but
- 3 times truncation [i] would yield OA(376, 213, S3, 42), but
- the linear programming bound shows that M ≥ 24139 354386 854363 147378 476124 618112 504428 827791 667688 382538 767752 602863 057296 834401 801307 804700 / 12846 980782 406505 841743 696059 469546 157683 736221 588601 551817 > 376 [i]
- 3 times truncation [i] would yield OA(376, 213, S3, 42), but
Mode: Bound (linear).
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 linear OOA(3216, 352, F3, 3, 137) (dual of [(352, 3), 840, 138]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3216, 352, F3, 4, 137) (dual of [(352, 4), 1192, 138]-NRT-code) | [i] | ||
| 3 | No linear OOA(3216, 352, F3, 5, 137) (dual of [(352, 5), 1544, 138]-NRT-code) | [i] | ||