Information on Result #562686
There is no linear OOA(5129, 214, F5, 2, 99) (dual of [(214, 2), 299, 100]-NRT-code), because 1 step m-reduction would yield linear OA(5128, 214, F5, 98) (dual of [214, 86, 99]-code), but
- construction Y1 [i] would yield
- OA(5127, 149, S5, 98), but
- the linear programming bound shows that M ≥ 5193 361256 119414 558729 044685 549653 156610 735015 094949 701472 602202 230455 237241 812938 009388 744831 085205 078125 / 69869 528585 224173 > 5127 [i]
- OA(586, 214, S5, 65), but
- discarding factors would yield OA(586, 145, S5, 65), but
- the linear programming bound shows that M ≥ 1 681971 586304 181223 187907 190141 264188 172812 749344 276629 843014 476462 881651 126808 966524 933987 666420 440086 867329 609762 499671 015636 681116 117777 216867 334999 506056 192331 016063 690185 546875 / 1 235197 506395 108210 300700 030853 409382 253498 637886 138574 180390 146599 149915 868081 543662 842688 306834 854616 250416 282850 014131 > 586 [i]
- discarding factors would yield OA(586, 145, S5, 65), but
- OA(5127, 149, S5, 98), 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(5129, 214, F5, 3, 99) (dual of [(214, 3), 513, 100]-NRT-code) | [i] | Depth Reduction | |