Information on Result #557894
There is no linear OOA(3218, 344, F3, 2, 139) (dual of [(344, 2), 470, 140]-NRT-code), because 1 step m-reduction would yield linear OA(3217, 344, F3, 138) (dual of [344, 127, 139]-code), but
- residual code [i] would yield OA(379, 205, S3, 46), but
- 4 times truncation [i] would yield OA(375, 201, S3, 42), but
- the linear programming bound shows that M ≥ 70 125936 773107 976834 379244 843784 716640 335910 577502 309916 609029 015855 123273 912868 189563 572000 000000 / 109 901819 499502 271926 662008 620205 982068 132289 165070 372767 942049 > 375 [i]
- 4 times truncation [i] would yield OA(375, 201, 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(3218, 344, F3, 3, 139) (dual of [(344, 3), 814, 140]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3218, 344, F3, 4, 139) (dual of [(344, 4), 1158, 140]-NRT-code) | [i] | ||
| 3 | No linear OOA(3218, 344, F3, 5, 139) (dual of [(344, 5), 1502, 140]-NRT-code) | [i] | ||