Information on Result #559859
There is no linear OOA(4145, 199, F4, 2, 107) (dual of [(199, 2), 253, 108]-NRT-code), because 3 step m-reduction would yield linear OA(4142, 199, F4, 104) (dual of [199, 57, 105]-code), but
- construction Y1 [i] would yield
- linear OA(4141, 163, F4, 104) (dual of [163, 22, 105]-code), but
- construction Y1 [i] would yield
- OA(4140, 151, S4, 104), but
- 2 times truncation [i] would yield OA(4138, 149, S4, 102), but
- the linear programming bound shows that M ≥ 11 769278 720446 703333 267659 747956 551886 187319 922656 933070 157940 129170 842786 675855 465333 653504 / 85 907459 > 4138 [i]
- 2 times truncation [i] would yield OA(4138, 149, S4, 102), but
- OA(422, 163, S4, 12), but
- the linear programming bound shows that M ≥ 22822 886502 605724 057600 / 1273 153051 > 422 [i]
- OA(4140, 151, S4, 104), but
- construction Y1 [i] would yield
- OA(457, 199, S4, 36), but
- discarding factors would yield OA(457, 195, S4, 36), but
- the linear programming bound shows that M ≥ 494 490067 436667 455875 598203 818411 591542 653847 684514 372082 636620 702806 966272 / 22309 972171 916724 959618 830756 395146 773299 > 457 [i]
- discarding factors would yield OA(457, 195, S4, 36), but
- linear OA(4141, 163, F4, 104) (dual of [163, 22, 105]-code), 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(4145, 199, F4, 3, 107) (dual of [(199, 3), 452, 108]-NRT-code) | [i] | Depth Reduction | |