Information on Result #547947
There is no linear OA(5111, 259, F5, 84) (dual of [259, 148, 85]-code), because construction Y1 would yield
- OA(5110, 144, S5, 84), but
- the linear programming bound shows that M ≥ 91 409242 726417 624095 344105 505405 630376 260462 681874 772811 345983 107578 216930 733105 982653 796672 821044 921875 / 1070 506247 537363 410554 373824 > 5110 [i]
- linear OA(5148, 259, F5, 115) (dual of [259, 111, 116]-code), but
- discarding factors / shortening the dual code would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-code), but
- residual code [i] would yield OA(533, 134, S5, 23), but
- the linear programming bound shows that M ≥ 7 905984 850652 471068 879589 438438 415527 343750 / 66 073848 265952 909413 > 533 [i]
- residual code [i] would yield OA(533, 134, S5, 23), but
- discarding factors / shortening the dual code would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-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(5111, 259, F5, 2, 84) (dual of [(259, 2), 407, 85]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(5111, 259, F5, 3, 84) (dual of [(259, 3), 666, 85]-NRT-code) | [i] | ||
| 3 | No digital (27, 111, 259)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |